The tutoring thing really is quite comical - on the surface, £1 billion sounds a lot but as headteachers have worked out, the per child cost falls very short of the claims of the government. This is also only provision for pre-16 education as well.
I think that many hawks in government will take the attitude that 'if it's good for me, it's good for you'. With so many MPs being able to buy their children's way through the system through paid private tuition and whatnot, and with private schools naturally being better able to open and resume kids learning both remotely and in-person (through smaller class sizes), inevitably there will be many in government who think 'You know what? Let's just delay the opening of schools to gain the upper hand'.
There are some right gimps on charge as well. That Jonathan Gullis, who is a former teacher of all things, is somehow trying to argue that it's the unions' fault. If his colleagues really had any sort of control over the situation, then even if they could not open up the schools, they would have at least a plan drawn up as tohow education will be conducted over the coming months.