

That was exactly the problem with simmering anything.
Also, only 9 power levels wasn’t enough. It was very powerful (nice when I wanted full power) but the steps in power were too big. For many things the only options were too hot or too cold.
But the fault that made me replace it was an intermittent one: occasionally (about five times in 18 months) it went to full power. This could happen at any power setting. No change in the indicated setting, but the power would come on continuously. Anything other than a pot of water would, in just a few seconds, be burning. Very dangerous! Fortunately, it never happened when I wasn’t standing right there to turn the power off at the wall switch. Being intermittent, technicians couldn’t find/fix the fault. It also occasionally stopped heating for a minute or so at a time, as if there was some thermal lockout even when nothing was unusually hot, but at least that wasn’t dangerous.
Pulsing the power every 3 to 5 seconds would be fantastic! One pulse every 30 seconds is not good. But I haven’t yet found a manual or sales person that can tell me the period of the pulse width modulation for any brand/model. Not that I have tried very hard.
Maybe I should try KitchenAid. What you describe sounds wonderful.