Given the anti-Catholics' presuppositions, their logic is correct. The same way that parents in the ancient world sacrificed their first born to insure having many progeny. The same way the guy next-door blows a trumpet at 6:00 a.m. to insure no elephants will stampede ("Why the heck do you blow that thing every morning?" "So the elephants won't stampede." "THERE ARE NO ELEPHANTS HERE!" "See?")
It's all about who are you going to trust for your epistemology, ontology, anthropology, and soteriology. Who are you going to trust for truth, goodness, and beauty.