I would bet most people would fail a blind test.
I also use 60Hz screens just fine, saying that getting used to 120Hz ruins slower displays is being dramatic. You can readjust to 60Hz again within 5 minutes. But I can still instantly tell which is higher refresh rate, at least up to 360Hz.
Most people who’ve used both 60 and 120 could tell, definitely if a game is running. Unless you’re asking me to distinguish between like 110 and 120, but that’s like asking someone to distinguish between roughly 30 and 32.
North of 120 it gets trickier to notice no matter what IMO.
I can live with 60 but 85+ is where I’m happy.