Zuko spent a good majority of his life trying to meet impossible standards set for him by his father and as a result, internalized the need to go to great and often self-destructive lengths to get people to like and accept him. He didn’t take any time after his banishment to heal and was at the Western Air Temple within a week after the Agni Kai. He almost drowned and froze to death trying to capture Aang at the North Pole. He compulsively stole items as the Blue Spirit for Iroh and showered Mai with stuff when they were dating because in his mind, if he kept giving stuff to people he was proving his worth to them. At the beginning of The Southern Raiders he almost died in his efforts to take the fight with Azula away from the rest of the group in an effort to protect them. Even innocuous things like serving tea to the gaang and juggling for Jin can be linked to his need to please people as he was constantly told that he wasn’t good enough and desperately wanted to prove his worth to the people around him. 

Anyway, what I’m saying is that it would be very easy to pressure Zuko into doing group karaoke and I’m just gonna leave that there.