I think the reason some home educating parents are against an increase in monitoring in because their children have been harmed by school, cahms etc., and they no longer trust the state.
I have ended up having to home educate my daughter after she had an horrific first year at secondary, I can't tell how much the school didn't care that she was becoming increasingly mentally ill. She was having multiple lengthy meltdowns (complete loss of control screaming and flailing about while in a dream state for hours at a time) through the night and in the morning of school days. She had panic attacks at school, but wasn't allowed to speak to me after, just made to get back to class immediately. She was verbally and physically assaulted at school. She had her bag grabbed from her by some boys who pretended the contents were sex toys, being a young for her age, naive autistic girl, she found that ultra distressing. She started self harming. My many emails were largely ignored, her tutor responded, but never so much as asked her how she was doing.
Also re 'educational neglect', well she was being educationally neglected at school. Big time! One of many examples, she was in a mixed ability maths class, she didn't understand a word the teacher was saying (she's about 4-5 years behind in maths). I was told it didn't matter, about half the children in the class were in the the same position, the important thing was the more able children were modelling more advanced maths to them.
Eventually I got the school's attention when, in desperation, I contacted the attendance woman and said 'aren't you going to fine me'. She kept suggesting I home educated. In the end I had no choice. My daughter attempted suicide, finally got an appointment with cahms, which was a disaster. I'm left with a very mentally ill child with learning difficulties and autism. At that point I was far more concerned with her mental health. The officious, untrained, clueless person from the home ed department of the LA does not know what is best for her, nor does she care. I just don't trust the state to act rationally or in her best interests.
I would love for there to be some suitable school or alternative provision for my daughter. There isn't though and sending her back to a mainstream state academy would be an utter disaster for her.