For example, a fridge-freezer might need only 600 watts to run but will also need up to 2000~2500 watts to start. You'll struggle to find a $400 generator at 2K+ watts capacity, even if that load is only for ten seconds. Maybe "own-brand" generators from e.g. Harbor Freight, but would you trust it?
And that's just for a single appliance, large space heating/cooling systems are even more problematic/spikey. Buying generators for your home is actually more expensive and complicated than many people realize.
You'll quickly find yourself looking at $5K Honda inverter generators w/7K watt capacity even if that seemed overkill at the outset.