I really don’t understand why anyone would think they are entitled to any part of a derivative of a published piece. Why publish if not to help advance humanity, just like all who came before you and contributed to your success/ability? This is quite literally the bedrock of the progress of human civilization. As long as they aren’t straight up reproducing a direct copy of the original work.

If you want to keep it to yourself so only you can benefit from it, then keep it private. Otherwise, why don’t you get to work on the next big idea.