Not at all. There is no significant hot spot as heat is actually produced by the bottom of the pan and not the coils themselves.
> Induction as implemented right now is on/off with full blast for the duration and just increased downtime. It is not the same as low constant output.
Again, not at all. All the devices I have used were perfectly fine generating a low, constant heat. what you describe may be the case for bargain basement ones, and it was the case for most resistive cooktops, but is definitely not the case for inductions ones.