Well .... We've all been on completely the wrong track. I think
@circus is correct.
We've all been assuming that the inverter was shutting down immediately when the fridge tried to fire up .... and assuming always get you into trouble.
Here is a snippet from the Xantrex Prowatt 2000 manual.
View attachment 59006
We should have looked this up last night but we all followed
@smoothJoey to the bar .... LOL
Most likely thing now seems to be that the inverter has a bad fan.
I have attached a copy of the manual for the OP to download for future reference.