I did wonder!
If anything CPU usage might go up as it has data coming in faster it can process more so usage goes up.
No because the actual data been processed is the same given its a fixed 60fps, not uncapped framerate. If a cpu (or gpu) is waiting for data it has a i/o wait chewing cycles.
I have measured 2 games vesperia and division 2, both fixed 60fps.
If I am going to be accused of BS next time I just wont share my data, thats what I call a toxic community to just accuse someone of BS especially when someone has done nothing themselves just likely dialled in XMP and left it at that so dont have their own data points.