If you have a whitelisted medic force and remove defibs from civs you would get some of the vocal members on Asylum posting about the loss of gang/cartel life because they can't keep reviving their friends in a fight. Secondly, there would be concern about corrupt medics from civ gangs getting whitelisted and helping their buddies out but not rival gangs. All that would have to be addressed in a way that doesn't impede on the gameplay that Asylum is used to. If all that can be ironed out then a whitelisted medic faction could be something that would be enjoyable for a lot of players, especially younger ones that can't get into the APD.
I'm also assuming the APD medic talents wouldn't be touched/altered in this scenario since the combat medic in the APD is probably one of the most important perks it has available.