I vote "no".
I've had a fridge in the HT/Audio room for many years, and regret the decision.
It's too loud. Granted, when folks are over and we're watching loud action movie, loud tunes, or chatting loud, you can't hear it.
But my room is also my sanctuary from life when I want tunes, peace and quiet, and so forth.
It is those times when all I can hear is the fridge. I spent so much time and effort insulating the rest of the house so I can't hear HVAC and plumbing (ie; toilets flushing and water rushing down the pipes), but then I place a compressor and fan in the room 15' away from me.