Has anyone made any progress on this
On my side I got an amazing improvement just by making some changes on G-Sync and V-Sync settings. In fact activating G-Sync for my game but not for OBS solved the issue for my desktop capture (because my game is not compatible with game capture on OBS). There is still some small stuttering every 25 seconds but it's very acceptable now.
The strange thing is G-Sync improved my source in OBS while my monitor is absolutely not G-Sync compatible. So I don't really understand. Especially because G-Sync is usually not recommended for OBS.
It's still not perfect but clearly better. I don't know if your issue and mine are similar, but for sure on my side I'll have to make more tests with G-Sync and V-Sync settings. I feel I'm on the good way.