Yeah, gonna say there's little to no overlap in skill sets. Whatever advantage would be so minimal it would be overcome over the course of a single paint pall match. The few times I've played generally physical health is a much better indicator of initial advantage, with people that can hack the cardio being much better able to move and aim the gun for extended lengths of time.
Also a lot of FPS have super accurate shooting, and often straight hitscan weapons, having shot paintball guns numerous times in the past, even experience with real firearms will do little to help with the drop and sway you are going to get with a regular paintball, it required some pretty serious adjustment to hit anything even close to human sized the first time I fired one.
All the nonsense about positioning and cover means very little, and any advantage would be overcome within a game or two as most people pick that up fast when you get hit with your first paintball. One of my buddies who's never played a game other than Madden and maybe Clash of Clans in his entire life picked up all of that within an hour of playing, and his better physical health meant he could do it more and faster than I could, despite my experience playing shooters since the days of Doom.
Pretty much anything else is vague enough to be an easily transferred skill and duplicated from any number of hobbies: communication, teamwork, etc.