The compressor is moving the air around in the freezer, which can have an impact on how much heat is transferred. You can sit comfortably in a sauna, but your arms will heat up quickly if you wave them around. Similarly, a convection oven heats things faster than a conventional oven.
True, but I meant that fan runs when the compressor is running to blow air over the coils. That movement of air will allow more transfer of heat from the stuff in the freezer.
You've got a good point, which is that moving air greatly improves heat transfer, but your errors in terminology are confusing people. The fan that blows cold air is the "evaporator fan". The compressor fan (if there is one) blows hot air on the outside of the freezer. Here's a diagram: https://home.howstuffworks.com/freezer2.htm.
