I live in Surrey, our private school rates are as high as Edingburgh.
I cant share audited facts. But i know the local market very well.
There has been a few years where reception entry has been low due to birthrate. State schools have been reducing PAN or closing. This has made it very hard to gauge how much of the lower entries in private are due to VAT or birthrate.
A number of private schools have closed, some have merged. I know that entrance exams cut offset are easier too for years 3 /7/9
The impact I am most concerned about is sixth form. There are a number of strong state sixth form colleges which have always attracted pupils from the private sector. There is also a bit of a population bulge going through, so doubke impact.
The state sixth form colleges have almost universally removed thier level 2 offering to concentrate on A levels, and reduced thier vocational offering, they have also raised entry criteria.
They have seen bigger numbers from private doing the a levels.
This is devastating for state pupils who now have to travel a longer way to find a level 2 course or a level 3 vocational course.
A lot of these pupils are pp, they dont always get a travel bursary and they are in danger of dropping out of education.
The private school changes came in at the same time as uncertainty about vocational courses and funding as they are expensive to fund, so it was a double effect.
Anyway. Long rant. Nothing is joined up or thought through.