There are emergencies and emergencies, but removing your protective gear when you are entering in a emergency scenery is an horrible idea by several reasons.

After thousands of interventions in this places, you are basically guaranteed to step while in your sockets on blood, syringes, broken bottles and glass pieces. Awful idea. Your toes smashing the leg of a table if you have luck. Hepatitis or HIV if not.

Also removing shoes that were designed to assure maximum stability before to enter in an unknown scenery can be a big mistake. You will regret it later, trying desperately not slip while you navigate a stretcher on a narrow spiral staircase, carrying a heavy guy with a fractured leg.