I play on 1080p and for the moment my screen is limited at 60 fps but I can increase the fps of my games if it can decrease the bottleneck...
What is most important to me is the damage side of the material, Does too large a bottleneck damage the GPU or the CPU?
Excessively high/low frames over/below the monitor's refresh can still cause stuttering/tearing, even with G-sync or other adaptive refresh technology; these features have limited operating ranges.
Nvidia Control Panel has a setting called Fast Sync, where frames in excess of your monitor's refresh are tossed out. Use it; that would be best with your current monitor.
Pretty much gives you the benefits of Vertical Sync on/off, but with none of the downsides.
That said, the 3070 is really excessive for just 1080p 60. 1080p isn't graphically demanding, even on ultra, and 60hz is a cakewalk for many of today's cpus and gpus.
And before you ask, "What if I get a new monitor?", then I have to throw the bone of, "If it ain't broke, don't fix it."
If the current monitor does what it's supposed to do and you're still satisfied with it, then there's no need to change it, and changing it anyway would be superficial.
Also, erase this damage thing from the equation. Bottlenecking does not mean what you think it means.
It also does you no good to over-think this; there are many possible causes:
-cpu
-gpu
-memory bandwidth
-thermal
-software(coding)
-storage
-ethernet
It isn't just limited to the cpu and gpu - there's always at least one present and no one can avoid it.