I think she means more that the premium placed on the value of family is patriarchial tyranny, rather than family life itself. I don't think he makes that clear - or at least, the interviewer doesn't.
I identified with it, because I think that a lot of the world and culture is geared towards the "goal" of having a family, even though for huge swathes of the population that goal isn't desirable or realistically attainable. I don't see me ever starting a family: I'm a gay man and so it's never going to happen by accident, and between my lack of savings and history of poor mental health periods it's not an active choice I would ever want to make. But when you look at the messages in advertising and consumption, everything is designed for family life. I cannot begin to describe how much food waste I had in the years I lived completely alone, for example. Not to mention queer people's experiences with their own family. An example: I was thrown out for a few days when I was 17 when my stepfather found out about my sexuality, and I only went home "because faaaaaaamily" and you can guarantee if my mother had stayed with him I would have left ASAP and never spoken to them either again. As an adult I've got immediate family I don't speak to and people always tell me I should make up with them, as if family is more important than not allowing yourself to be treated to disrespect and abuse. Good families are great, but bad families can be so destructive, and part of the reason they're able to flourish and cause such damage is because of the value we as a culture place on the concept of family.