Absolutely everything I've read on generators boils down to the fact that LP generators use a horrible amount of propane. Apart from that, functionally, they perform the same.
Considering you have a toy hauler, have you considered a generator on wheels that's gas powered? We do not have a toy hauler, but a Montana High Country fifth wheel. I have 2 Cummings Onan P4500i inverter generators that can be run in parallel and power 50 amps and absolutely everything electric in my camper with no problems at all. (2 air conditioners and microwave, electric on the water heater, residential refrigerator, all appliances, everything, same as being hooked up to shore 50 amp power.)
2019 Montana High Country 375FL Fifth Wheel
2014 Chevy Silverado 3500 6.6L HD Dually, Long Bed, Crew Cab