Too new to tell for us if we're going to have issues with the GFCI, but that would be a pain if it was tripping that. Even a remote switch wouldn't help you in that situation because it would show that the inverter is on, and it is, but there's no output because the GF I breaker is tripped.
The remote fridge temp thing is a good idea if you're traveling a long distance. We typically only go about 60 miles to our favorite spot, so not the end of the world. But the plan is to go on some longer trips as well, so knowing what's going on back there would handy. Have to look into that...