I don't think there should be any change that would forcibly remove a player from your roster.
Skill loss and the progressive inability to heal injuries already work like a natural filter where the usability of players is concerned.
I don't see a reason to create a situation where one team can get an advantaga based on sheer dumb luck.
"I don't know half of you half as well as I should like; and I like less than half of you half as well as you deserve."