Nonsense, "you must be at least 13 years old to use this service" has been standard T&C since time immemorial. It is not a basic piece of information either, it's a big piece of identity theft. So not that I'd even give any online service my real DoB anyway.
I don't remember ycombinator asking for my DOB when I created an HN account...
No, but I think it informed me in text that I had to be above a certain age?