Hello. I apologize for this late response and I hope my answer finds you well.
In my opinion they aren't mutually exclusive. You can certainly believe in both ships at the same time. These ships have different individuals who will manifest their love languages in unique ways. The way they choose to explore their relationships will be different. And of course, how private they want to be or not. What's used as evidence to claim they're real will also differ given ship dynamics. So believing in them both can happen at the same time. Thank you for asking.