When I was doing my phd I noticed many advantages those that had parents which already navigated the system. Building up my C.V. with publications, workshops, presentations, teaching work, writing in public etc. (evidence of competence) is an impossible job to do when I figured out I needed this at the the end of my PhD to get the professor job. My colleagues that knew all this portfolio building and what is in and what is relevant had a huge leap up. I was just happy to finish with my publications and thesis.
There is also a tonne of relationship building opportunities that I didn't realize I had after I finished. So, many things are also unsaid that when my children go in I will know how to help them navigate.