Sounds like crappy stoves to me. I've never had issues with power and it certainly doesn't "ramp up or down".

Well, okay, I have, in that I had to get used to the dang thing being more powerful than I was used to.

I will say, induction has the issue of needing to roughly center the cookware on the burner as they have sensors that'll turn off the burner if cookware isn't detected after a certain amount of time. But that's just a matter of familiarity and practice, it's rarely a problem for me now that I'm used to it, and the stove gives me an audible alarm if I screw it up.

As for cleaning, I previously had a ceramic top electric coil stove and it was objectively worse, and both of them were better than old style coil stoves with those horrible burner cavities you have to clean out.

As for a power cut, I live in a place that's lost power twice in the past... five years? It's not a concern for me, though everyone's circumstances are different.