I think I've posted this on EB before when this topic came up. My mum read this as a tip in a book, or something and did this when my brother was little (in the late eighties/ early nineties).
I was annoyed that my brother got a small gift on my birthday. The real problem, though, is that ever since then he has been upset/domineering/weird whenever anyone else has a birthday. He is in his mid twenties and has only just stopped making it all about him. I'm sure there is more to it than that, and a lot of it is personality-based as well.
But I would say: Nooooooo, don't do it. You're making a monster!
More seriously, I think celebrating others and not needing the attention on oneself is a very important lesson to learn.