Nigel Farage wants a no-deal exit. Though he's now calling it a clean break.

He tweeted: “No British Government could ever accept Germany telling us that part of the UK has to stay in the EU.

“The choice now is clear: A clean break Brexit, or stay in a new militarised empire.

“Time to choose freedom.”

Presumably the name change is to avoid having to discuss no-deal documents such as Operation Yellowhammer

There are various reasons to prefer an exit without a deal. They can be broadly divided into ideological reasons, and pragmatic reasons.

Pragmatic Reasons

It is possible to make money from the decline of an economy. By shorting sterling and shares in UK businesses, some people could enrich themselves. There are also those who seek to use the divergence from European standards to roll back the rights and protections of workers, and to produce goods more cheaply. They are betting that the damage done by a no deal brexit would be less than the opportunities created by this divergence in standards and regulation. Some people also believe (correctly or incorrectly) that Britain will be in a better negotiating position once it has left the EU, so they support a sort of "no deal for now". In the same vein, some people simply think the economic damage is overstated, and that Britain will flourish under such conditions.

Ideological Reasons

There is a contingent in the UK that sincerely believes that, given the result of the 2016 referendum, the country has a moral obligation to leave the EU as soon as possible. If one also believes that staying in the single market or customs union wouldn't really be leaving, and that any potential deal which divides the UK in any way is unacceptable, there are really no options other than leaving without a deal. Their belief really is that despite the economic damage, to preserve faith in democracy and the Union, we must leave.

Of course, all these reasons can be mixed and matched and used to justify one another - but it is certain there are both malicious and benign reasons to support this position. It is therefore difficult to say with any certainty whether any of the politicians advocating for this course of action (such as Boris Johnson, Nigel Farage and many others) have malicious intentions. One can certainly accuse them of that, but they have many good justifications with which to defend themselves, and without reading their minds, we cannot say whether they are telling the truth. What we do have are their public statements, which naturally skew toward the arguments that are politically acceptable.

I think Boris Johnson definitely wants a No Deal Brexit:

this is the right way to release economic potential of the whole country.

Also, for example, Sir Bill Cash may also think so.

In fact, there is definitely some political power, and, then, some amount of people, in the UK, who prefer No Deal Brexit. When voting on a referendum, I think, that, at least, some of those, who vote for the Brexit, definitely wanted a no-deal (or UK-formed-EU-accepted deal, which is, in fact, the same)

Yes, President Trump of the United States.

According to Politico's US would ‘enthusiastically’ back no-deal Brexit, Trump envoy says:

America would "enthusiastically" support a no-deal Brexit, U.S. National Security Adviser John Bolton said on Monday during a visit to London.

“If that’s the decision of the British government, we will support it enthusiastically, and that’s what I’m trying to convey," Bolton told reporters on the first day of his two-day visit to the British capital, according to the Guardian. "We’re with you, we’re with you."

He said the U.S. would consider striking sector-specific deals ahead of a full-scale trade pact.

“The ultimate end result is a comprehensive trade agreement covering all trading goods and services,” Bolton said. “But to get to that you could do it sector by sector, and you can do it in a modular fashion. In other words, you can carve out some areas where it might be possible to reach a bilateral agreement very quickly, very straightforwardly."

Bolton also took aim at Brussels, saying: “The fashion in the European Union is when the people vote the wrong way from the way the elites want to go, is to make the peasants vote again and again until they get it right. There was a vote — everyone knew what the issues were. It is hard to imagine that anyone in this country did not know what was at stake. The result is the way it was. That’s democracy.”

Trump has previously said in an interview with Piers Morgan (before the first extension):

So we are going to make a deal with the UK, that will be great. As you know, somewhat restricted. Because of Brexit you have a two year restriction. And when that restriction is up we're going to be your great trading partner. It's a tough restriction to have. You know for a couple of years, you have very strong lack of being able to do things.

While he didn't mention no-deal specifically here, it's implied that the UK would be able to make trade deals which it is not the case when the UK takes on the EU's common external tariff. From the Institute of Government:

Accepting the EU’s common external tariff would also constrain the UK’s ability to strike new trade deals and require the UK to comply with substantial numbers of EU products regulations.

With respect to your question here:

Are there participants expecting No Deal has a better outcome than remaining in the EU? Even if it is only better for the person itself?

There is indication that the Trump administration does prefer a no-deal compared to a deal in which the UK remains very aligned to the EU to the extent that it cannot make Free Trade Agreements with the United States. After all, the president has mentioned doing an FTA quite a lot:

Great discussion with Prime Minister @BorisJohnson today. We talked about Brexit and how we can move rapidly on a US-UK free trade deal. I look forward to meeting with Boris this weekend, at the @G7, in France!

_{https://twitter.com/realDonaldTrump/status/1163600519467798529}

At a Press Conference in New York - September 25, 2019

We advanced our values greatly and made clear to everyone that the United States will always defend our citizens to promote prosperity. I met with Prime Minister Boris Johnson, at length, of the United Kingdom, continuing our discussions on a magnificent, new bilateral trade deal. So we'll see what happens with respect to Brexit, but I suspect we'll have a fantastic deal with the UK. It should be much bigger than it has been over the last number of years.

Leaving aside those who might actually believe no-deal Brexit would not be bad in terms of economics, support from the rest can probably best be summarized by Boris Johnson's two words "fuck business".

People make all sorts of trade-offs. The BBC had a fairly long video segment on a small business owner (in the fishing export industry) who voted for Brexit but against her direct economic interest. When the segment was filmed she was still not ready with all the paperwork needed to trade with the EU after Brexit, and there were doubts she would even qualify under the new rules. (She had a single trailer.) Nevertheless, she said she did not regret her vote saying it was for her children's future, or something like that. (Alas I cannot find the link again; too much Brexit material on the BBC.)

Politicians who stand to gain popularity (with some segments of the population of course, not with all) from having achieved Brexit probably have an even easier job deciding than those business owners.

It makes sense that a participant in the negotiations of the kind of Brexit states he wants No Deal Brexit for strategic reasons as part of the negotiation.

As I understand it, many proponents of Brexit believe that the UK would be better off outside of the EU and that the UK would be able to negotiate a far more politically acceptable (to the conservatives) without the free movement of people.

Furthermore, many conservatives have stated that they believe that Brexit will hurt the EU far more than it will hurt the UK and that the EU will negotiate something more politically acceptable to the conservatives at the last minute.

Finally, my suspicion is that many of these last minute negotiations are intended to make it appear that the leavers are the "reasonable ones" while making the EU seem like the "bad guys".

Note: I'm using a lower case "c" to distinguish the people from the political party (which has an upper case "C").