I moved into a new apartment with an induction cooktop and radiators with the same type of "buttonless button" controls and those continually give me problems. You can't just touch them, but you have to slide your finger over the controls in just the right way, and hope that (for the radiator) you've hit the 1 in 3 chance of it actually working.
My next cooktop will probably still be induction, but it will definitely have knobs.
My next cooktop will probably still be induction, but it will definitely have knobs.