I understand what people are saying about a fridge being different from other A/C units, that it is a sealed system(*), and therefore doesn't need regular use.
But....
There might be something to what
calmloki said about the fluids separating over time, I don't know.
And.... especially when it comes to matters like this, and especially when dealing with a small sample size (1!) and anecdotes, I look to the pragmatic approach. To me that is:
What's the harm in 'playing it safe' and running it for a day once every three months? It's not hard, it won't cost much. It may not help, but it's not a lot of work.
OK, I guess Lakewood90712 is saying that the start could hurt the bearings, since the fluid would have time to drip away? But a regular fridge runs just about every hour, so no time for the fluid to drip off the bearings? Hmmm.
I'd it were me - I'd just do it. Actually, if it were me, I'd fill it with more home brew!
Which reminds me, I have a couple kegs chilled and ready to tap - gonna have to test them.
(*) Why aren't auto A/C sealed? Are home A/C sealed? For auto, is it because they power it mechanically, so they need a shaft through the unit. Could they use a magnetic coupling? I think some cars are going to electric motor powered compressors, so it can be run on demand separate from engine RPM.
-ERD50