Say a big game company like steactivblizzard released the latest Call of Assasins Hitman for free. They could incorporate bitcoin mining within the menu/pause/loading screens as a sort of payment method. Just a small burst of bitcoin mining so as to not interrupt gameplay too much, much like how we used to have loading screens before SSD.
Would this be profitable? I'm thinking that people playing these games are most likely to have high-end GPUs. And these are big ticket games with a lot of players. Would they be able to successfully mine coins to the point of being profitable?