Well I figured out how to get the overlay on OBS without having to disable g-sync. Hopefully this information can help someone else in the future or help with a future fix if its possible to be done from RTST side.

I have to launch the game first, then launch obs and do game capture and then launch RTST, click start and then quickly go back to the game before it connects. If I alt-tab at all, I lose all visuals of the stat tracker until I relaunch PS2 and RTST.