The first time I ever encountered one of these electronic counting minibars was when I went to check out and had an astronomical bill from removing said items from fridge (multiple times) in order to put my items in. They reversed the charges.
I think asking for an additional refrigerator to store your medication and pizza in is a reasonable request. When booking a room if the expectation is that there is a refrigerator then you shouldn't be charged to "make it so". Personally I'd prefer to have an additional fridge brought in and pay $10.00 then to pay $10.00 to work around their empty mini-bar set-up.