Leveling isn't a big concern if you have a fridge that uses a compressor, like a residential refrigerator. Leveling is only critical when using an absorption fridge, one that uses propane/electric to heat ammonia.
I always thought the fridges that were effected by an unlevel pad were propane only. My fridge doesn't have a propane option, but maybe it's still in jeopardy? I don't sit unlevel anyway, but I do stay connected for overnights if I'm fairly level.
I do have a concern sometimes when staying hitched that there would be some type of emergency and I wouldn't be able to pull out as quick because I'm hooked to a trailer that has the stabilizers down and plugged in the post. I would have to either unhitch, or unplug and take the trailer with me.
Thankfully I've never had an emergency, but it's a bit of a concern at times. I think if I camped with young kids I would unhitch.