Sounds like a lot of speculation going on here...
Home Educators are already a stigmatised group in society. Thanks in part to the efforts of the people like the OP who like to talk about all the hypothetically terrible things Home Educators could do to their kids.
Home Educators if known to the LA; normally have to deal with one officer who may have nothing more than a minimum C in Maths and English. This officer 9/10 times will start the relationship with deceit, claiming to a Home Educator to have more powers than they legally have. This officers remit is normally to force as many children into school as possible in order to cut expenditure.
Things some HE’ers have to put up with due to malicious briefings against them:
Some hospitals now regard any child being home Educated as a safeguarding risk and will report to the LA and SS if any come to their attention. Thanks to LA encouragement.
Some LAs attempt to illegally access HE Children’s medical records from GPs without cause.
Some LAs use or threaten police attendance at a property in order to intimidate HE parents into allowing unlawful home inspections.
Some LA’s perform audits of child benefit payments against the school registers and use fraud prevention as an excuse to extort registration if HE children with the LA whilst they freeze benefits until compliance.
No official will take the word of a HE parent over the word of an LA Home Ed official. This gives the official unchecked power to make a families life miserable with Home Educators having no recourse to stop them.
If a Home Ed family is in dispute with that one likely unqualified official the only opportunity they get to effectively appeal that officials opinion is to wait to face criminal prosecution for ignoring a school attendance order. Then they finally can put their case to someone actually neutral I.e a magistrate. Home Educators taken to this point win approx 66% of cases after the magistrate judges that their education provision was in fact sufficient.
As for those HE’ers who are in favour of registration i have encountered a few like yourselves. Happily had visits from a lovely person from the LA who was just ticking boxes. Then there is a change in staff; the new officer marks you down for not having a desk and chair solely devoted to education. They demand to see dates on all written work. They demand the names of all other HE children your kids interact with. They demand a report from a third party educator to validate your provision. If you do not comply then it’s a school attendance order and/or prosecution for you.
No one cares if a parent leaves their child in a school under special measures or is unsatisfactory; because as far as the LA is concerned the child is where they want them; not where is best for the child.
Home Ed parents sacrifice time, energy, income, pension contributions, careers in order to do right by their kids. Unfortunately a lot of society thinks this dedication should be rewarded with suspicion, sneering and an official attitude of ‘guilty of child neglect until proven innocent’. Local Authorities are daft if they are surprised a community has formed to stick up for their children’s rights.