The first distinction I can think of is, “Who has agreed to the terms of service of the site being visited?”
So no if its on the internet and its publicly viewable, i don't see why a bot like chatgpt should somehow be blind to a site that a human can see lol, hell microsofts made their new AI system see your screen, do you also want the AI's to somehow black out the screen area that has the website open and ... know theirs a TOS somewhere on the page