that the factors are set by the regulations and the Operational Guide
Just to be clear for anyone who is interested, the regulations and the Operational Guide set out the factors that can be used to determine school funding. Some of these factors are compulsory. Most are optional. So, for example, the LA can decide whether or not to give additional funding for LAC, EAL, pupil mobility, etc.
But evidence around the world, I thought, was that they made standards overall more variable
The evidence on this is mixed. Certainly some opponents of academies argue that they make the gap between successful academies and unsuccessful non-academies wider. I've not come across any studies suggesting that the gap between successful academies and unsuccessful academies is wider. It is, however, true that academisation is not a silver bullet. Whilst there is evidence to suggest that on average schools perform better as academies that won't apply to every single school. Some schools won't improve and some will get worse.
What, exactly, is to stop the DfE letting LA schools set their own curriculum, in any event
Nothing. I think they should give all schools that freedom. I am not overstating the evidence. But I don't think it is about being vindictive. The NC was introduced to make it easier to compare schools and to prevent LAs from imposing their own, often politically driven, curriculum on schools (of course, the NC is also politically driven and will largely conform to the government's agenda). It has grown from something that was initially fairly lightweight into something that consumes most teaching time and dictates the syllabus outline for many GCSEs. Given the various campaigns there have been for and against changes to the NC I suspect that the DfE thinks that it is too difficult politically to drop it for LA schools.
I think you are conflating curriculum with methods of teaching
There is evidence that schools with freedom over the curriculum are more likely to take imaginative approaches to teaching. So to some extent you are right.
what have academy schools really, in actuality, done with their freedoms that LA schools have genuinely not been allowed to do
Some have stuck quite closely to the NC. Some have been more imaginative.
academisation and free schools do not appear to be plugging the gap.
That is down to the LA. They are responsible for ensuring an adequate supply of places. They can commission new schools. However, they must attempt to find an organisation who will run it as a free school rather than run it themselves.
Choosing your own PAN enables self-interest. Either of the keeping class sizes small variety, or the pack them in tight for maximum funding variety
Trying to keep class sizes small will fail when the attempt comes into contact with an admissions appeal panel. They will be concerned about the number of pupils the school can physically hold. They won't be interested in the school's desire to have small classes. And a school that tries to pack them in tight is likely to become unpopular with parents rapidly as well as falling foul of Ofsted.
Even academy schools have to teach, eg, what a fronted adverbial is, however bloody pointless they think that is
That is a recent development which I don't think is a good idea.
Sorry, but you can't test maths, grammar and science nationally without effectively inflicting a curriculum on children
That is still only a small proportion of teaching time, whereas the NC takes up almost all teaching time.
It seems quite clear to me that government wants children prepared for and tested on something in every single year of primary school
I have no idea where you get that from. I have seen nothing to suggest any desire to introduce SATS in additional years.
Academisation is not a magic pill
I have said that myself. Some academies will fail, just as some community schools fail. The question is whether or not it generally improves standards.
it's the exact opposite of freedom to force schools down a path they would not willingly choose for themselves
I do have reservations about forcing all schools to become academies.