I'm not sure that you're understanding me, though it should be quite clear. The map you posted wouldn't test this either way and I'm pretty sure singleplayer has nothing to do with it.

Look at the triggers for this map. According to your theory (at least as I understand it) the display text would run. According to mine it won't.

Look at this, in singleplayer it will.
The reason is nuances.

Ah, I see what you mean. It continues running only for the players that get victory only since everyone else gets a defeat or draw and are dead when the loop ends and victory players have the option of continuing play. The real point though is that only you can only acquire victory in that one loop.

I've always made my maps so the victors all get a victory trigger and the people who lose either get nothing or a defeat. Works for me well enough I don't need to know all this crazy business