Yeah, this is total cart before the horse. Cards aren't built to target specifically 60fps. They're built to perform as many operations as possible. Then content creators push the card as hard as they can while attempting to maintain 60fps. The graphics engine authors out there are always clamouring for more ops with active plans of how to use them. So any extra memory of ops the GPU makers provide will almost immediately be used up. Further complicating things, display technology is always advancing, adding more pixels to render.
I remember this moment when Crytek released a real-time raytraced demo of one of their games running on the best hardware avaipat at the time. It felt like, finally the hardware is capable and now it's a slow march to the end of raster graphics. Then 4K displays came along and totally exploded the number of pixels to render and that was pretty much the end of that talk, at least for a couple decades.