You seem to have mixed up an objection to the API with an objection to the user of the word "iterator" for something a bit more general than the normal/original

You seem to have mixed up an objection to the API with an objection to the user of the word "iterator" for something a bit more general than the normal/original meaning. That conflation isn't terribly helpful. Words can have more than one meaning. So long as everyone's on the same page, that's OK.