I have no time, and make no apologies, for this wretched so called Government, but they will not get rid of BBMF or RAFAT. That is not how things work. However they could save them.
The Treasury gives the RAF an inadequate sack of money for the tasks they are asked to perform. The Treasury then says, exceed your allowance and you are in the poo, so tell us what you consider worth saving and what should be binned to stay within budget.
The RAF then produces a list of costed assumptions for binning. If the CAS is a gambler, he may put into that list high-profile items he believes the Government would not accept being binned because of the attendant negative publicity and so will order their retention. CAS can then argue for additional funding. The danger is, of course, that his bluff may be called and the Treasury will say thank you and take them.
So it will be the RAF who get rid of the RAFAT and/or BBMF. No direct blame will be admitted by the shower in power.