Mfcttrf

I have 4 circle nodes with different sizes.

Is there a simple way (TikZ, Asymptote,...) to connected them with circular arrow arcs?

documentclass[border=5mm,tikz]standalone
begindocument
begintikzpicture[every node/.style=circle,draw,fill=white]
defr3
draw[red] (0,0) circle (r);

% 4 nodes with different sizes
path
(180:r) node (Sp) Spring
(90:r) node (Su) Summer
(0:r) node (Au) Autumn
(-90:r) node (Wi) Winter;

% How to make arrow arcs cicular? (the red one with arrow tips)
beginscope[-stealth,bend left]
draw (Sp) to (Su);
draw (Su) to (Au);
draw (Au) to (Wi);
draw (Wi) to (Sp);
endscope
endtikzpicture
enddocument

You can compute the intersections of the node boundaries and the circle to draw the arcs. For your convenience, I packed all the stuff in a pic. I kept the red circle in to prove that the arcs perfectly cover it.

documentclass[border=5mm,tikz]standalone
usetikzlibraryarrows.meta,bending,calc,intersections
begindocument
begintikzpicture[every node/.style=circle,draw,fill=white,
 pics/circular arc/.style args=from #1 to #2code=
 path[name path=arc] 
 let p1=(#1),p2=(#2),n1=atan2(y1,x1),n2=atan2(y2,x2),
 n3=ifthenelse(abs(n1-n2)<180,n2,n2-360)
 in (n1:r) arc(n1:n3:r);
 draw[-Stealth[bend],pic actions,
 name intersections=of=#1 and arc,by=arcstart,
 name intersections=of=#2 and arc,by=arcend] 
 let p1=(arcstart),p2=(arcend),n1=atan2(y1,x1),n2=atan2(y2,x2),
 n3=ifthenelse(abs(n1-n2)<180,n2,n2-360)
 in (n1:r) arc(n1:n3:r);
 ]
defr3
draw[red] (0,0) circle (r);

% 4 nodes with different sizes
path
(180:r) node[name path=Sp] (Sp) Spring
(90:r) node[name path=Su] (Su) Summer
(0:r) node[name path=Au] (Au) Autumn
(-90:r) node[name path=Wi] (Wi) Winter;

% How to make arrow arcs cicular? (the red one with arrow tips)
beginscope[-stealth,bend left]
 path piccircular arc=from Sp to Su
 piccircular arc=from Su to Au
 piccircular arc=from Au to Wi
 piccircular arc=from Wi to Sp;

endscope
endtikzpicture
enddocument

Like this?

documentclass[border=5mm,tikz]standalone
begindocument
begintikzpicture
[every node/.style=circle,draw,fill=white]
defr3
%draw[red] (0,0) circle (r);

% 4 nodes with different sizes
path
(180:r) node (Sp) Spring
(90:r) node (Su) Summer
(0:r) node (Au) Autumn
(-90:r) node (Wi) Winter;

beginscope[-stealth,red,bend left]
draw (Sp.90) to (Su.180);
draw (Su.0) to (Au.90);
draw (Au.270) to (Wi.0);
draw (Wi.180) to (Sp.270);
endscope
endtikzpicture
enddocument