About a 25 year old forced air gas furnace, the kind with an inducer blower. No fancy electronics; just whatever kind of time delay they have for the blower and an updated inducer control board also has a delay circuit. So it's more a matter of wondering if the motors, gas valve, and transformer will object to the perverted waveform of a "simulated sine wave" inverter. I have a real generator so the inverter is more of a backup to a backup. Thought I'd ask first.
I'm going to guess that the 24V transformer will have an output that's closer to a real sine wave which lessens any unhappiness of the gas valve and electronics so I suppose the transformer itself and the motors are the items of concern.