Since you're so smart, why don't you give us the definition of what the definition of two phase is? And note we're not arguing over what anything is routinely called, we're not arguing over what one particular implementation of two phase was a hundred years ago, we're arguing over electrically, what's there and how you do circuit analysis on it and how do you define what two phase power is in general.
Or define N phase. I have and then all phases are defined, we don't make it up as we go. And try not to use transformers, generators, or moon beams in the definition, because how it's generated doesn't matter.