I'd along with that I'd go research. It is in fact obvious in an intuitive way.
Interestingly I found it works in the opposite direction too. Years ago I was training for an Instrument Rating in TN. This meant long hours in that instrument of torture the Frasca simulator. The result was excellent hand eye coordination. I found this out after a movie while waiting for a cab. I played some video game in the lobby. I was unbeatable, several spotty teenagers were most impressed. I ended up with the highest score by far. So unless the gamers of Jackson TN are the worst in the world then it was all the time in the simulator which improved my skills.
What instrument training did for me was improve my 3D mental image capability, my SA as Vulcan pointed out. I could do with some of that now in AH!
This research is very significant for the games industry. Perhaps it will become a school subject. Medal of Honour 101, What a laugh!
Damm good game but I can't get past the last level, so frustrating aaaaaaaah!