Sure, why not? Birthday might not be absolutely relevant, but allows to judge your success at school/uni/education much more easily, nationality is relevant to decide whether they would have to go through trouble to get you employed (if non-European), and the employers/jobs of your parents usually correlate strongly with your own qualifications, at least on a quantitative level.
Whether you like the fact that a surprisingly large number of university student has academics for parents, it is still there, and if you want an intelligent person, it might act as a decent filter to look for intelligent parents, especially is said person does not have much experience otherwise yet.
Whether you like the fact that a surprisingly large number of university student has academics for parents, it is still there, and if you want an intelligent person, it might act as a decent filter to look for intelligent parents, especially is said person does not have much experience otherwise yet.