There are electric stoves (contact heating; cast iron plates (european style)) with a thermostat in the center, and my induction plate only has a power dial. Yeah, gas doesn't have a thermostat usually, but the other types are usually not incompatible and as such there exist both variants.

Right I’m not debating that they exist but I think most of the flat ceramic tops we have here modulate power rather than temp. That is one great thing about induction. You can reduce a sauce without risking a runaway boil if you don’t monitor it closely at the right time.