It says a lot about the society we live in, especially the family environments. If your safe place for psychological health is an anonymous site imagine what kinds of families there are...
This can happen even with the best of parenting that has always driven home to their kids that they can come to them any time unconditionally with anything on their minds or hearts. As part of growing up and individualizing themselves strongly vs. their parents from their early teens, that sort of kind and loving offering may well be entirely and willfully refused by many a strong-willed "independent-minded" youngster =)
I think it's unavoidable, since there are no "perfect" humans, there are no perfect parents, especially given how kids after infancy grow / mold their own individuality over time not just from their home environment but all sorts of idols / inspirations and especially those
not found at home. This natural human drive for individual differentiation as well as unavoidable generational cultural differences will probably always create
some level of communicative tensions and differences of outlook and opinion. In the worst case there's divisions, splits, separations; in the best case it's probably like you describe your family: similar to mine, no matter the parent-child dynamics and psychological subtleties "back then", we're now communicating as equal(ly) grown-ups about the "everyday topics" and shared family concerns, yet might
nonetheless hold back certain matters of one's life as "private even from our technically/nominally 'closest' relations", if only simply due to knowing the other side's certain peculiarities of character and opinion that might make a trivial-for-oneself topic an unnecessarily big deal and undesirably huge topic of communication and a cascade of micro-quarrels one had earlier learned to pre-emptively evade.