"anarcho-monarchy" was previously used as a term expressing indifference towards if there is anarchy or a monarchy, like J.R.R. Tolkien apparently was in to this viewpoint

This use of "anarcho-monarchy" sounds confusing - the people consent to follow someone like a king? That's consensual leadership - sure, he can be called a king, or leader, but it's maybe different from monarchy and redundant to call anarcho-monarchy.