Actually the free medication fridge is not even dorm sized. It's a small cooler and will fit a couple of medicine bottles (it's made with insulin supplies in mind I think).
Sometimes if they are out of the med fridges or if it is a issue of bigger items (some feeding tube supplements or special food items) they will do a dorm sized but usually it's just the little ones.
If you go to the DISabilities thread they have tons of info on this.