i don't really have a view on home edders, i have friends who do it (properly) and they don't have big grey complexioned kids who are plugged into gadgets, the two don't usually go hand in hand.
Seems mum is publicity hungry (maybe for selling her craft stuff?) and in doing so has opened her kids up to ridicule and abuse- people are commenting on their weight as evidently they really DON'T get enough exercise, if they did, they wouldn't look like that. In conjunction with her silly self publicity about how much screen time they get, you can only draw conclusions, if these are incorrect, it is her own fault.