Round table

In chess, a stalemate implies an impossibility to make a move, i.e., the scenario with dwarves and a fly is also not a stalemate in the literal sense. I think that's why the rules don't refer to a stalemate situation, but rather to a "stalemate," i.e., any situation in which the battle cannot be ended.

You yourself specify the condition for a stalemate – impossibility.
And if in chess I say – sorry, I don't want to stalemate – will he be immediately disqualified from the tournament/federation for his stalemates?
Here, tell me:
The attacker – attacks (or what does he do?)
The defender – defends (or what does he do?)
The same situation applies to the fly + golems; the golems attacked, but they cannot catch up/kill – the stalemate situation is considered only for the attacker, but what about the fly?! It lived quietly and peacefully, and suddenly someone wanted to kill it, so it defends itself; it didn't sign up for suicide.

Yes, that's its difficult fate. But what does this imply?

Only that if someone does nothing, then they won't do anything.

I believe that if both do not want to fight, then it is a stalemate situation.

A counter-question: when was someone's desire a condition for stalemate situations?
Impossibility is the condition (it is impossible to catch up, it is impossible to kill).