If a PIC of a twin had an engine failure taxying to take off, he would not take off. Yet millions take off with a single engine, single generator.....
You state that a pilot of a multi-engine airplane wouldn't take off with a failed engine, and try to compare that to departing with a single engine or single generator in a single engine airplane? Not even close to apples and oranges, here; you've created a wholly nonsensical statement.
You really can't compare a twin engine airplane attempting to takeoff with assymetrical thrust and an engine failed, to departing in a fully functioning single engine airplane with one generator.
Did you think this out before you made the argument?