So Sméagol Wanted The Ring To Be Given To Him As A Birthday Present, Right? He Wanted To Receive It

So Sméagol wanted the Ring to be given to him as a birthday present, right? He wanted to receive it as a gift and killed Déagol when he refused.

400-something years later, it's common hobbit custom to give gifts on one's birthday instead of receiving them. Bilbo gets special mathoms for his 111th birthday party to give away.

Does this mean an old legend of a murder over a birthday gift lead to this massive cultural shift?? I can't find solid evidence that it's directly related but I mean... Hobbits are known gossipers and a rare murder would be very well-publicized. And it seems in-character for them to avoid the possibility of further birthday gift violence with such a strange, neat little solution of flipping the expectation around.