It could, as IIR it is auto safety, and the linkage may find some interference if rear screw is loose. You may want to pull the action from the stock and inspect the linkage for rubbing etc., and while at it clean all oils off the stock screw holes and screws and apply preferably blue lock tite, or vibra tite.
The recoil of my .22 cal mod 95 will reset the safety like that. Only does it when I shoot light pellets though. The action screws are all tight on mine so that’s not the problem. I think it’s related to how the Quattro trigger is adjusted. I use that handy UTG cantilever mount on my mod 95 and my Striker. It has held up well over a couple years of testing.
The Hatsan Mod95 manual safety should have a very firm and obvious CLICK when pushing it from safe to fire. You should be able to manually engage (pull) the safety and feel the same obvious CLICK. It may be more difficult to perform the latter action because the manual thumb safety slide is much easier to PUSH than PULL.Are you are getting a good clean "CLICK" when using the manual safety slide?If no then further investigation is needed.