If you try using a 60hz screen after a 120hz one, it will feel very sluggish and choppy. As long as you don't get used to 120hz, you'll be fine with 60hz.
Screen refresh rate arguments are starting to have hints of audiophile discussions.
120 Hz won’t make a difference on a TV box, imo, as abysmal state of their UI is far greater of a problem. High refresh rate is nothing when a transition takes seconds and when scroll is jittery even by 60 Hz standards. :(
A computer UI is basically a movie with 0 shutter angle, which looks super jerky at low framerates.
Going 120hz → 60hz: "WTF? Why is it so choppy? Am I accidentally in low battery mode?"
It's similar to going back to non-retina displays after getting used to retina resolution.
From this you may reach enlightenment.
I switch between various refresh rates daily, it’s barely noticeable.