Add an extremely small sprint duration while red screened. Maybe barely 2-3 seconds of sprint, then your stuck with perma-walk.
Why add this? Well seems logical enough for a man just being shot to GTFO of there if he was capable, which in this game, you are.
This will just add survivability to players and will allow players to fall back like a mofo. It balances itself out because if the player uses the med pack once, he'll get red screened (If he's lucky enough) and will bleed out.
Don't tell me this will be OP because almost every player gets insta-killed by a gun and ONLY occasionally get the bleed screen.