This whole setpiece seems pretty buggy to be honest; the MRI door bug is one that's been mentioned before, but in this case I got some new weird behaviour. After restarting, reloading and finishing the battle, I seemed to have sounds being replaced with the giant mutant roar at random. First one was after exiting the menus (after I had killed him, which - oddly enough - the rocket vending machine did still work after) and once again (so far) at the fire-throwing mutant on top of the stairs. The MRI door, however, did open.
Just throwing this up in case any devs are monitoring, and in case it provides any useful clues to them (no, I'm not going to join the legions of haters; yes, I do still love the game).