Really well put. My wife and I play FPS's as a way to chill out at night. Despite being violent, fast paced and the lobbies are typically full of boys, my wife loves it. As a result we purchased a 1ms response monitor, Scuf controller and new Billion (Broadcom chipset) fiber-ready modem so that we could play more competitively (financial-intellectual-engagement).
Anecdotally, we've both noticed our reflexes to real-world things such as driving, traversing busy sidewalks, making quick decisions, catching objects etc has improved. I guess when the difference between dead or alive is seeing something, forming a strategy of engagement, and pressing a combination of buttons while manoeuvering - all in the space of a second - helps you process unforeseen events a little quicker.