“Birthdays are important to me” is disgusting to me, betrays a selfish mindset. As a grown man you have no reason to care that much other than as a pretext to celebrate for everyone around you.
“Other people’s birthdays are important to me” is much better, ignore your own but be the one to send someone a little message thanking them.
Can’t imagine what kind of soft, carefree life you’d have to even care about the diff. in cakes…sounds high maintenance