when you look at it in further detail
When he is teased with the hat..its not QUITE the real one..so he doesn't get the real one yet..towards the end he does get the real one
When he's teased with Liz..he's not actually worthy of claiming her yet (he's being very dishonest to her)..towards the end..he DOES become worthy of claiming Liz...and as a reward he wins her over