Seemingly Trivial Unanswered Problems In Discourse: Pope Edition

Two weeks ago, we had the first go at the new feature, Seemingly Trivial Unanswered Problems In Discourse, which goes by the acronym D.U.C.K., in which we take a question that should not be asked, a question that seems to have no answer or a perfectly trivial answer and actually have a discussion about it for no good reason.

Last week there was an interesting exchange about Martin Luther's 95 theses and it inspired this week's D.U.C.K.:

Is the Pope, in fact, Catholic?