Maybe you bought a really cheap or bad version. Mine has multiple power levels and I finely control my cooking temperature.
They are proven to cause asthma and gas leaks causing GHG emissions. Some people will bitch and moan, but inevitably gas is going away.
All of your points are incorrect. It's possible to modulate the power delivered by induction stoves. They work with all magnetizable materials. Aluminium, copper and glass - which are all very rare types of cooking pans, don't work obviously so you just sell them if you have them and use steel pans.
I don't need to elaborate, I know what I want and I know what I need to do when people take away what I want.