I consider them distinct from Protestantism, but, if you must lump them somewhere, then Protestantism is more fitting than "Cathodoxlicanism." They're "Protestant" in the "if you're not Cathodox, you're Protestant" line of thinking, but that's about it.
What's 'Cathodoxlicanism'? Or did you just invent this word?
No, I didn't make it up. It's a portmanteau of Catholic, Orthodox, and Anglicanism. They're the big three pre-Protestant Christian churches that are all fairly similar to each other, more so than they are to the vast majority of Protestant churches.