The problem they face is CapGemini have no vested interest in letting go. So they are hardly going to fall over themselves to stop riding the gravy train. And that would be the same for any company in the same position, that's business.
Can't think it was always an overpriced contract, but then I think most Gov projects (particularly IT) always seem surprisingly expensive. Be interesting to see how a new model compares in cost over a number of years. I'm sure bureaucracy will help keep the cost up with all the extra new suppliers having to jump through various hoops one that element starts.