In my experience they do wait until things calm down before going outside or to another floor in a building before trying to administer aid, but even so, they tend to put themselves in harm's way when they shouldn't. If a squad got blasted by a tank when it was on the fourth floor, and then ran down to the first floor to take cover, there's a good chance that tank will still be out there three minutes later and will shoot the guy with the band-aids.