It makes zero difference for me, just tested it. Recording the game wouldent make a difference for me due to my system being plenty powerful and this game not being demanding at least from the looks of it. I have played much stellar looking games and faced zero issues. The game does not seem to be lagging fps wise as I am observing the dust particle effects in the first room moving smoothly while my mouse jumps. So it actively at least for me has a issue interpreting the mouse correctly in relation to the in-game player character camera. I am no expert in game development so I have no idea how this issue occurs nor have I experienced it in any other game until this point and time.
I did link the video btw, you should see what I described. The video is at a solid 1080p60fps so the game did not effect anything outside of it which I wouldent expect from this. Again doesnt seem to be framerate related, the game is for some reason is screwing up mouse input.