No, I disagree with your thoughts on this matter.
Professionals should be involved in a child's life if there is a reason to be concerned. Being home-schooled is not a reason to be concerned.
Under law, it is the responsibility of the parent to provide an education. That's their right and their responsibility. It's the responsibility of the school to provide a decent education if that is how the parent chooses to discharge their responsibility. Teachers are not social workers and school is a place for education, not monitoring welfare. If it is a place for monitoring welfare, it's unsuccessful at it and the majority of teachers are woefully under-prepared for this role.
School authorities should not monitor the education being provided to home schooled children because (a) they can legally only step in if they have a reason to be concerned, (b) they are experts in schooling, not education as such. They're in no position to see that an adequate education is given because an education can come in all sorts of forms, many of which the average education authority will know little about (they usually have a teaching background).
Home schooling should not trigger social services involvement because there is no basis for this in law.
If there is a need to keep tabs on every child in the country in some way, then that should be formally done that social services for every child in the country. If there truly is a need for this, it's lax for social workers to assume that teachers have got it covered. If not, it's insulting, illogical and an invasion of privacy to assume that the decision to home school triggers social services involvement. Under the law, parents have the right to decide what is best for their child and that includes who has access to their child, unless there is reasonable evidence to suggest the parents are not doing a good job.
The vast majority of home schooled children have given healthcare providers no reason whatsoever to be concerned and the vast majority of abuse cases (sadly) occur to children who receive a school education. There has been a great deal of inaccurate reporting about home schooling in the media with some abused children wrongly reported as being home schooled, and cases of neglectful treatment from professionals reframed as a home-schooling problem.
In the majority of cases, education authorities approach the monitoring of home-schooled children inappropriate, incompetently, and with suspicion. In my area, they have repeatedly lied about what has been said in meetings, asked to see children on their own only to ask them leading questions like 'Wouldn't you prefer to be at school?' and found fault with everything to the point that it really is impossible to get it right. If your home is polite it's over-regulated, if it's messy it's inapropriate too. If the child is ahead for his age the complaint is overly high expectations, and if he is behind then the complaints are there too. This is because education authorities are not impartial and they basically tend not to want home schooling to be successful. They also have very little understanding of the law, with many school principals claiming that a child cannot be deregistered without their consent and the local authority claiming that they have a legal right to access the children on their own. Things have got to the point where parents only feel able to communicate with the LEA in writing, through a solicitor, in order to give no information that can be lied about or twisted later.