I think you should read what I said more carefully.
If you can figure out how to defend exclusive control of a particular brand name without using force or violence then I'm all for that.
I think it is fraud to claim to be the originator of a book that was simply copied from someone else. I see nothing wrong with reprinting a copy of a book that is properly attributed to the author & indicating that it was an independent publication (same as any book in the public domain). I also think it is a fraud to produce a copied product & claim it is a respected brand. But there is nothing wrong with Aldidas & Adidas coexisting. I don't know what sort of restitution is owed for violations in either case, I suspect something like libel laws would be the place to look for how restitution should be handled.