I'm a few days before Xmas and one of my besties is Xmas day. I can assure you neither of us hold it against our parents! That is laughable.
The 2 presents thing used to upset me a LOT when I was little but by the time I was a teenager I liked being able to ask for something a bit bigger as a joint present if it was an option.
I never celebrated my birthday (other than family) because after a couple of years of only having 1 or 2 kids able to come, it got too bothersome. But it can always be celebrated early, I just never liked doing that (much to my mother's dismay!).