The Prius's motor-generator might not be able to run at 100% duty cycle, but they're tens of kilowatts max output so you'd need a pretty big load.
Many car alternators also won't run at full load for very long, and can only do about 2kW, so definitely a risk. Either the windings overheat, or the voltage regulator will. They're sometimes thermally regulated, but not always. You can sort of band-aid it with forced cooling to supplement the centrifugal fan on them.
[0] https://fridge0.branchable.com/ [1] https://fridge0.branchable.com/thermal_mass/
You could probably get more power out with a custom inverter tied to the 140v hybrid battery, but this was quick and easy.
I tried to swap in the refrigerator for the heat, but I had grounding issues that was tripping the inverter. Fortunately it was cold out so I was able to manage. Just remember a DR plan isn't done until you have tested it all the way.