This a particularly extreme interpretation of copyright, and not one that has seen that much support in the courts. You can put what you like in a copyright notice or license, but it doesn't mean it'll succeed, and the courts have generally taken a dim view of any argument which relied on the fact that electronic data is technically copied many times just to make it viewable to a user. Copyright is probably better understood as distribution rights.
(Not saying training will necessarily fall in the same boat, just saying that the view 'copying to a screen or over the internet is necessarily a copy for the purposes of copyright' is reductive to the point of being outright incorrect)