In the case matters most, it's not a placebo.
Imagine 2 FPS players with identical ability who play against each other. If one has a system with 4ms latency and the other has one with 5 ms latency, the former will statistically have the upper hand, even if the players can't, in isolation, notice a difference between the 2 systems.
The games I play (ITGmania) measure accuracy to the tenth of a millisecond, any fluctuation in your hardware latency can ruin your scores and nothing really is more annoying than an inconsistent setup where the latency change between or during a session is absolute hell.
Vibes and latency don't belong in the same sentence at all imo.
Not sure if I can follow but...no?! My first TFT-TV had 2 seconds input lag. Impossible to play video games on it. That has nothing to do with feelings.
Already 10ms delay has a measurable effect: https://www.youtube.com/watch?v=5qjSGEOEaXo