My wife and I have a $200 two burner induction cooktop (Duxtop) and it definitely leaves a bit to be desired. You can tell it tries to keep temperature as conditions change, but it definitely struggles, and the adjustment is pretty coarse. I imagine $1500 Breville one someone else mentioned here is a different experience!

I bought a cheap (£200) 4 plate induction hob around 10 years and it worked really well most of the time (it only struggled if you tried to have all 4 plates on high temperatures so you’d have to think ahead a little if doing a roast). But if 1 to 3 plates running concurrently it was really reliable. So you don’t need to buy top end to get something useable.

Or more likely bad pans ;-)