Somewhere in there is the problem. ChatGPT & Co should be viewed as tools - they can do research, they can discuss and echo your ideas, they can write FOR YOU. (Or at least that's the idea, when they don't go nuts). And if they are your tool, you are doing the work - you are the author.
If ChatGPT copies the wikipedia article, you are now in trouble. Your tool caused you to plagiarize and not even notice but that won't save you. Same if you include complete nonsense generated by your tool. Still your fault (although some lawyers have been getting away with it.)
If you copy the wikipedia article yourself, at least you know you cheated.
But equating the tool to the plagiarizing is absurd. What is possible is that perhaps the problem is now outperformed / overpowered by the tool. It may now be trivial to answer the problem. A few clicks?
But again it's long tradition for schools to outlaw some tools in the effort to teach something specific that the tool would replace: calculator out of bounds, or only basic calculator and no computer, no books, sliderule only, etc.
Yes, exactly right. If your tool caused you to plagiarize, it's your problem - you should've checked the output. You can't point to ChatGPT, it'd be like pointing to Word. You are the author and thus you are responsible.
Schools need to adapt. Explain why a tool is forbidden - it will improve efficiency of learning if the kids know what is the purpose. Use different more fun method to teach mind skills, and teach overcoming problems using various always evolving and changing hi-tech tools - instead of the rigid lesson/homework style of today. Teach them that change is constant and that they need to adapt. This is not something theoretical - there are state sponsored schools operating in this way where I live. It's great.