Yes I believe the Traverse is a bit light on battery power for anything much over 1500 watts for a few minutes or maybe 600 watts continuous. Probably keep your fridge running but maybe not the furnace. And yes the alternator may press the voltage above 15 when the computer senses the battery is desperate and then you have no load.Here are some things I have used my handy power x with. Air compressor, coffee maker, space heater, charging my Eco flow. The space heater takes 1500 watts on high and it seemed to do fine with that. The protection looks like it's for under voltage and over voltage from the battery / alternator. Or probably if it detects some other error situation. Something interesting that happens with my Chevy traverse is that if I don't have a load on the inverter it goes into an over voltage situation and then the protection kicks on. And I have to restart it. Annoying but seemingly if I have something plugged in it won't do that.
If you had a diesel truck with two batteries and larger alternator you would probably have better luck.
Might be workable with some additional battery but truly there is just not the continuous power available that you expected.