I agree - I don't think Jennifer promotes a healthy lifestyle for or to her kids. Even if she isn't athletic, she could have them involved in some type of sport/activity. There are so many things out there for kids - not just traditional sports, but rock climbing, trampoline gyms, dance and even yoga for kids. She has an indoor basketball court - with all her money, she could even hire a personal trainer of some type for a kids' exercise program.
Jennifer annoys the hell out of me every time she refers to her children (and other children - at the birthday party at Jackie's) as savages. And, not just in talking heads, or as an aside - she's called them that to their faces.
I find that incredibly insulting, and I am, by no means, a perfect mother. I've called my kids (now grown) spoiled brats, slobs, wild, etc., but the way she says "savages" is just so belittling and nasty.
I get the feeling from her that her children are an unfortunate necessity of her lifestyle.