(1) A: Did you hear? Kevin got a new puppy!
B: I have a purple umbrella.
B's response in (1) is problematic, certainly for reasons of (ir)relevance. Something's off: one might even call it anomalous. It's not really ill-formed, but it's problematic.
(2) A: I heard they elected a new pope yesterday. What do you know about him?
B: He's Catholic.
B's response in (2) is relevant, but it's not informative. If A knows what the word pope means, then A knows he's Catholic. B's response is problematic, but not necessarily ill-formed. But there's a mismatch, here, in terms of expectations (about what B should say) and facts (about what B actually said).