Yeah, it would run a space heater if the fridge compressor isn’t running. And it has run a microwave for short bursts.
I even ran the hw heater for a few hours to shower and do dishes.
My experience is with a house with natural gas heat. I’ve run the refrigerator, the network stack, the den TV, a few lights, the downstairs furnace (fan and controls only, heat is gas, as I noted), a couple laptops. Water heater is old school gas only, no power needed.
And an extension cord across the driveways to power my neighbor’s downstairs furnace and controls. Because I’m a nice guy like that!