OK ... assuming you're acting in good faith, here ...
Let's suppose a hypothetical: You've just formulated a brown, sweet, caffeinated carbonated beverage, and you'd like to sell it. "Coca-Cola" seems like a wonderful name; it sort of describes the contents of your beverage. Comment, please, on the consequences of your hypothetical act of marketing your beverage as "Coca-Cola".
I realize that they think they can call themselves Catholic.
It’s more wondering how, or why, the Catholic church either lets them continue to call themselves Catholic, or doesn’t take some action in straightening them out.