She has an eating/health issue
Not at least offering your kids vegetables is a PARENTING issue. If her children don't know what broccoli is (oh wait, they learned about it in school...) means that it was never offered to them. Allowing a small child to eat six yogurts is a PARENTING issue, too. That child is set in her ways and is going to have a very hard time changing her tastes.
But, I see your point that she was at least being honest about it...