It's not just about the heat output, although that does make a difference (cooking edit: thin* steak on a weak electric stove is hell). There is no amount of heat that will penetrate the inner part of the chicken while not burning the outside cooking only 3-4 minutes per side (unless you reduce the thickness of the chicken via butterflying, as another commenter pointed out, but you don't want to always to do that).
I'm mostly thinking outside the scope of just this one example. Even good recipes have a lot of variability in cooking time. The differences between how hot people cook at home and how hot they cook in commercial spaces is one of the ones that's hardest to control for (unless you want to remodel your kitchen...)
