also I want to add onto this, you will ALWAYS perform better with higher refresh rates, but it really is by a small margin, especially when you just got the upgrade.
I think peoples perception of upgrades is flawed by the fact that downgrading feels HORRIBLE. I had to play on my brothers setup for like a week, and he had a 60hz, and I was playing horribly, everything felt really slow. But that also happens to me when I go from 4:3 to 16:9, and we both agree that the resolution litterally doesnt matter in how a player will perform, its just confort.
To sum it up, upgrades are mostly confort, and the main benefit you get from it is the SLIGHT performance boost you get from confort (just like when you buy a new skin, it feels really nice and smooth, and you play well with it)