No Yugoslavian Coup

The Sandman

Banned
The Serbian coup in 1941 that overthrew the Yugoslavian king was unarguably a disaster for Yugoslavia, and a major irritant for the Axis; the country was overrun in a matter of weeks and then suffered through years of occupation and the Ustashe regime in Croatia. For Germany, meanwhile, it was an additional location that needed to be occupied, and would be a lingering resource drain.

My question is this: what happens if the coup does not occur, or is foiled, with the end result that Yugoslavia more-or-less willingly joins the Axis? Does this affect the war to any appreciable degree?
 
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