That is a comment about their family, not yours. No one knows anything about your family.
People do have opinions about what might be going on in the Tenant family, because of the things they have done and said in the past, and also relating to the things the article in the OP describes as well.
I don't understand this thing where people freak out if someone says they think that, for example, some people claiming ND may in fact have some other problem altogether, as if that is the same as saying everyone is taking the piss.
It's as if someone said, you know, I think that Lance Armstrong might be doping and it's kind of a problem in sports generally, and everyone involved in sports flips out screaming that you have it out for them and don't appreciate how much work they really put in without cheating.