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Remembering birthdays is a reflection of how much someone cares about birthdays. There’s no need to read anything more into that.
Many people (this thread is an example) are either completely indifferent to birthdays or even dislike them. To us (I’m indifferent) birthdays are totally pointless and basically a fact related to identification, like a student number or social insurance number. I remember my student and social insurance number because I have to, in order to function at school and in society. I don’t ask anyone else’s student numbers because it’s entirely pointless and useless information to me.
About cars, and not necessarily designed poorly, but definitely designed by a man for men: cars that, by default, automatically, immediately unlock all doors when the engine is turned off. A man might be car jacked or robbed, a woman might be car jacked, robbed, or raped.
(Of course men can be raped too, but it’s not as likely to happen by a strange woman threatening violence than a woman is to be raped by a strange man threatening the same.)