Not sure it needs pure sine, but it does have some control boards that I'd rather not fry. Auger motor and blower motor can't take much power, it's the igniter that chews up the initial load. thus why it says 800 watts required.
Looks like there might be some Aims on amazon used for reasonable price.
My backup for my pellet stove had 240 Ah of AGM batteries tied into a 700 watt UPS. the load running the blower and auger was 120W running the blower and another 55 or so for the auger. I ran it once for 5+ hours on battery and it was above 50%.