The way you think LAs work is baffling and antagonistic. Really, they aren't having meetings planning how they're going to come and get you. They aren't ignoring other areas so they can attack home educators. We're generally a tickbox exercise at most.
I've home educated for 10 years, including kids with SEN. I can literally count the times I've experienced stigma on one hand - and I'm a disabled immigrant who fails the paper bag test and live with two other disabled adults so not exactly conventional. Pretty much everyone I talk to about it goes on about how great the idea is and someone they know that has done it. I have literally only had trouble from a few medical professionals who, not surprisingly, had a very status quo mindset.
I home educate because I think it's best for us, particularly for primary ages with the system as it is, and I fully 100% support registration. It would be great to go through the system like any other parent and just tick it off when my kids hit primary and secondary age & we could get relevant information. I support parents providing better evidence than a paper with 'philosophy of education' as has been the recommendation by HE group for years. It works in so many other countries around the world without destroying unschooling or other interest-led educations and it prevents the shock that I see all the time of parents having a kid hit their teens and realizing, fuck, there are massive gaps, where do we do now? Yeah, some do it great, but I've been around the block enough times to know that it ain't all sunshine and roses and if you think there is little to no evidence of it failing, you're either wearing blinders or not talking to enough people involved - families and those that pick up the pieces when things don't work.
We now have colleges plastering our broken system by providing home ed courses as early as Y9 to try to get them up to speed. Colleges don't expect home ed kids who go in for GCSEs or other Level 2 qualifications to get them the first time around either due to dropping out or low scores in ones that have to be re-sit or redone to move forward even when doing significantly fewer at an older age. I've been working with colleges on this, because I think home educated kids deserve access at the same age as their peers regardless of their parents ability to pay for exams, and while some go in as the expected level, many don't and I've been told directly that many colleges set it up expecting HE kids to need to resit because that is their experience even with kids only doing 2-5 courses. In my local schools where it's expected that most kids will need to resit to progress - we call that shite and the system being broken. Same is true when it's home educated kids. They don't deserve less or to have that brushed under the carpet as not evidence of something going wrong.
Much like with golden schools being held up when we all know there are shite ones, for every home educated child the community holds up, we have far too many being let down. The system is not working, the system is lazy 'I'm alright Jack' until it's not and then there is panic. I've seen it frequently, the very people who go on and on about how great things are are most often the ones loudest when reality doesn't end up matching. If we followed the model of other countries that manage to have a large unschooling community like the UK does and regular evidence being required - testing, portfolio review, reports - we may have fewer parents and teens caught out and have smaller holes to dig out of when needing to transition out of HE. I'm not saying everyone should educate as I do with kids doing quadratic equations and binary maths which my oldest loves, but the system is not working - for schools or home educated kids - if colleges end up with teens who don't remember to capitalize sentences.