In theory, I'm not against the idea of scrapping 1-1 tuition. Parents should be expected to take an active role in their children's education, but sadly far to many parents do just think 'it's the schools job'.
Loudlass, my DS has AS, and is also on SA+. He gets excellent grades, but struggles to stay on track sometimes and struggles especially with English tasks that require imagination, as they frequently do in yr6. so he has has alot of extra support from the TA's at his school, who have helped him enormously. It sounds like there is more of a problem when it comes to statementing. Your dd clearly should have one, it seems completely wrong that she is on the same programme as my ds who even without extra help would achieve above average grades.
If they sorted out the statementing system and children were automatically given extra help to deal with their SEN's then this 1-1 help would be given to those children that need it for that reason. But I don't think it should be provided just because some parents won't spend time reading with their children. That is not what taxpayers money is for.