I've always wired the refrigerators to 12 or 24v. You don't want to turn your inverter off and lose your refrigeration. Run it directly off your DC.
Discussion
I see you use those chest refrigerators in your builds, they're pretty expensive, I was thinking 120v AC because I can get a lot of refrigeration for pretty cheap and newer ones are pretty efficient. Trying to do a self sufficient place for many people, and that means a few freezers.