Parents of kids born close to Christmas, in January, do you “expect” a gift for both Christmas and their birthday?

I use the term "expect" loosely because I know no one actually is obligated to give anything but my only sons 1st birthday was on January 9th and I couldn't help but notice that not many family members brought a gift to his birthday party however,they did all give him Christmas presents. Keep in mind that I don't actually celebrate Christmas anymore (which they know) so therefore wasn't expecting anything for my son but since receiving gifts for him for Christmas, I immediately did the same in return (in a matter of a couple days) for all the kids. Now I understand that his birthday is close to Christmas so spending money on both holidays may be financially difficult but I personally am a faithful gift giver and would like to do things accordingly and be fair. Should I not give gifts for upcoming birthdays if one wasn't received for my son. Am I being childish to reciprocate what they've done or am I justified in feeling that, moving forward, I shouldn't give both a Christmas and birthday gift if only one holiday gift is given to my son.

First time posting on Reddit and I would really like sound advice and not judgement. Thank you 😊

Edit: Thank you so much for responding to my post 😊 I unfortunately can't respond to everyone's comments but I appreciate all the feedback.I plan to have an open and honest conversation with my family about the holiday/birthday gift giving before they approach.