Just by reading this, not looking stuff up or rewatching vid, I don't really know what you are talking about here. But didn't he say that something like that will come in part 2?
Yes. He didn’t mention inductance except to admit he didn’t mention it. He implied he would give fuller explanations in part 2.
So what is your problem with him not (yet) talking properly about inductance? Do you see a problem with his experiment or arguments that this will address?
Maybe it’s me who’s wrong. But current in 1 wire inducing opposite current in a parallel wire is well understood. To discuss the phenomenon yet not name it seems strange.