What SWAT have, at least from what I remember from back then, it's a first aid kit. Roleplay wise, they would give the first aid to the injured officers (and let's just pointed that got abused as hell back then when you could revive someone from a mile away ;D )
I have no problem with SWAT having that "role/script/function/resource/defuckyouwantocallit" (that leads to the full medic script, I guess) but having a dedicated police spawn for that is nonsense, honestly. Just call some SAM Paramedic (or the random ass paramedic @Ikzelf) and put them close to the front line and you'll have a backup. (little crazy after post suggestion, maybe give SAM some armor [like 25%], so they can take a couple more hits)
Directly to the "problems" @Estinoge pointed out. Medics take/do the Hippocrates' Oath, that vows to save all life they can (someshit around that, I ain't no medic), so grabbing a gun is out of the question, at least in my view. The other problem is that medics aren't allowed to open the jail gates/doors. I do have to say it's a good thing. Jail can be a mess as it is, now imagines a couple medics rushing into it healing everyone (cuz you know, Hipoppotamus thinggy)!? To finish, it ain't gonna be me that is going to stop you from taking some medics to the jailbreaks. I can agree with SAM, and only SAM (cuz fuck random ass paramedics), don't get wanted once they enter jail (and maybe get added to the gates/doors), but if that happens I am suggesting adding them to the Police/Admin jail if they happen to be jailed.