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Assuming you can afford solar panels and a battery and they are not damaged in the storm and you don't go too long without sunny weather and ...

Yeah but couldn't you just... run a biodiesel generator to recharge your batteries?

Most of that applies to a gas generator, even moreso.

The generator you use once every year, but the gas regularly goes stale; are you really going to want to go refill it and hand crank it in a hurricane when the auto start didn't kick on? And you're hoping it, its ventilation, its fuel supply, and it's wiring aren't damaged or flooded.

One advantage that gas stoves have is that they don't need electricity to cook, so if your batteries or generators fail, you can still prepare a meal while you wait for the power to be restored.

You would need a lot of batteries. My induction top draws about 3kw when going strong.

My car has 77kWh of batteries, so it could power that stove for 24 hours straight.

Most grid-tie inverters need the grid to function.