Would you want to work with someone who "is sure" of a trivially verifiable fact? It's ok to be ignorant ("I have no idea who owns what") but to be sure of some

Would you want to work with someone who "is sure" of a trivially verifiable fact? It's ok to be ignorant ("I have no idea who owns what") but to be sure of something that pants-on-head false? What else are they "sure" about?