Here is some information, not directly for BLT, but I hope it helps. A freezer is important to me, because I bring almost all my own food due to religious dietary reasons:
When I stayed at VGF when it first opened, there was no freezer in the Studio mini fridge. I complained to Guest Relations, and was told that guests requested the loss of the freezer, to free up more space in the refrigerator!
If you put the food directly against the cooling coils in the back, stuff will freeze. Especially if you turn down the thermostat.
That being said, I have read reports that Disney is removing the knobs from the thermostats to prevent people from turning them down. In fact, my mini fridge at AKL this past December had the knob missing.
Strangely, the new video "web cast" of Copper Creek shows the host opening the mini fridge, and there seems to be a freezer section!