Quit bans need to be more harsh IMO. Quitters are still every where. If you quit a game you shouldn't be allowed to play a game until the game you quit is over, and bans get longer than that the more you quit.... Also what I would love to see is quitters go into a special match making pool of other players who have high quit rates. That way those of us who have the fortitude to finish games aren't always playing with quitters. With the match composer you get to pick the title and even the game type and players still quit out... I don't get it really.
I really don't see how it could get any more specifically the way you want it, unless they add choosing maps you want to play on, but even then, they'll quit. I just don't get it, and never will understand, why someone feels the need to quit out of game, after game. I support the putting quitters in their own search area, as apparently that's what Marvel Vs Capcom 3 does, saw it in a YouTube video the other day. They could also, add in a ban on gaining xp, for a certain amount of time, that increases with each quit, or an XP reduction that doesn't go away, until you complete a certain amount of games, to get back in the non quit threshold (Overwatch apparently does this one). The overwatch thing sounds like a big deterrent, because the more they quit, without completing, they just make it harder for themselves to get back into the normal threshold.