120HZ/120FPS Should I upgrade my display?

I'm using a 55" LG Nanocell TV that runs all my games at an average of 120fps with the resolution set at 3200x1800 @120hz

I was using 3840x2160 but the TV doesn't go any higher than 60hz at that resolution.
So now I'm sitting here looking on amazon at an LG B2 55" OLED that does do 120hz at 3840x2160, I think.
I do have the proper cables by the way incase anyone is going to suggest.

But the question here is do I NEED to upgrade if I am not getting FPS much higher than the Tv's refresh rate? Not a competitive gamer and even if I had 1000FPS at 1000hz I'd still suck at shooters.

The TV is running at 60Hz because that's its maximum refresh rate. It can't go any higher than that.

LG NanoCell 81 Series 4K 55 inch Class Smart UHD NanoCell TV w/ AI ThinQ® (54.6'' Diag)
Display Resolution 4K Ultra HD (3,840 x 2,160)
Refresh Rate TruMotion 120 (Native 60Hz)

If you want a TV with a higher refresh rate then that is your call. After all its your money.