From what I read on Reddit, there are some people who don't notice any lag (even in the aforementioned HK), others notice it in most games. For me, even the Zelda titles have some lag (though these I play on the TV, so it's a bit unfair).
For my part, I'll stick to PC; even if it means crying a little bit on each upgrade. And that's coming from the guy who used to often game at 25fps as a kid; and still enjoys playing the odd couch game (with friends) via wired Steam inhome streaming.
If you (or others) are happy with their experience, that's fine of course ;)
The problem is that we're compounding latencies that would be ok if it was just 1. Controllers? Bluetooth instead of a cable. Monitor? OLED instead of CRT. Audio? Maybe also wireless.
All together creates a sluggishness you can feel but can't pinpoint.
Framerate aside, a good percentage of modern TVs have abysmal latency. I recently played the original Super Monkey Ball 2 on a gamecube hooked up to a CRT and was shook; that sort of precision would never fly on modern hardware.
Game mode helps, but only somewhat, it does not generally solve the issue.
For this reason, as far as tight gameplay goes, my money's on devices like the Switch.