“UPS” is the wrong search term. Buying a “UPS” gets you 1990-era tech for cleanly powering down a computer if the power fails or riding through a brown-out. You’re looking for an off-grid system or a hybrid system or a portable power station. A company like Ecoflow will happily sell you one for $600 or so that will power a perfectly nice induction stove at full blast for half an hour. (You don’t need full blast for very long to cook most meals — this is good for quite a lot of cooking.) Throw in a single solar panel and a patch of sun and it will keep you cooking indefinitely.
Impulse Labs would like to sell you a really nice 4-pan stove with a built in battery that will ride through a decently long outage.
But there's also the virtue of tech that just works, without everyone having to spend time & money researching/purchasing/maintaining/using backup systems to cover its frequent outages.
Impulse Labs would like to sell you a really nice 4-pan stove with a built in battery that will ride through a decently long outage.