I read the article. It continually referred to her new home as an 'eco home', and said that by using the latest in design, energy bills would be slashed. To me, that's the only positive part of it. All council new builds should be eco homes, its nothing for DM to sneer about.
I don't think that the mother in question will get another new house by moaning if this one doesn't suit - that's not how social housing works and total red herring there by DM, surprise surprise.
It's a tough one. Nobody wants children to be inadequately housed, but getting your own home built because you have 11 kids you can't support is obviously going to grate with people who limit their families and/or pay for their own housing.
I don't have any answers. Presumably families this size are relatively rare.