Okay,
It does NOT make a difference in the situation you describe.
With a normal (synchronous) monitor the monitor refreshes the screen a SPECIFIC number of times per second depending what is in the framebuffer. For a 60Hz monitor it can update the ENTIRE screen 60x per second.
That can cause problems such as stutter, screen tearing, lag..
With GSYNC the monitor is NOT updating a specific number of times when it's in the asynchronous range. That's BELOW 60FPS for a 60Hz monitor, or BELOW 144FPS for a 144Hz, GSYNC monitor.
When that happens the GPU (video card) creates a new frame, then sends it to the monitor and the monitor then DRAWS the new image. So the monitor is totally slaved to the GPU.
*However, when the monitor reaches its MAXIMUM refresh rate it has to switch to either:
a) VSYNC OFF (screen tearing), or
b) VSYNC ON (added lag/sluggishness, added STUTTER for non-GSYNC scenario if dropping below target)
(normally I'd add added STUTTER to VSYNC ON but that doesn't apply here because if you drop below the targetSo again, once you hit that point you are NO LONGER in asynchronous mode. There is NO BENEFIT at that point to having a GSYNC monitor.