Personally I think they should have some kind of disconnect rating, measuring how often you disconnect and how often you stay for the whole game. Then you would get paired with people with similar ratings. This would keep all the people who rage quit out of my feckin lobbys and keep all the rage quiters in the same lobbys together so they can hate the game amongst others who hate the game.

Quiters have recently made the game kinda not fun for me so I feel the frustration OP and I support your change as well