@Another76543
Another problem is that the esteemed professor and his mates make a living producing "research" that typically starts off with a falsehood, and therefore it would be foolish to take any notice of their recommendations. In this case, we have:
"The greatest schooling inequality by a very long distance lies in the resources gap between the private (fee-paying) and state sectors. With access limited by ability to pay, there exists a stark socio-economic segmentation of pupils between the sectors, yielding in effect a two-tier system... I argue – on the basis of both common sense and substantive evidence from recent literature on educational production functions – that the prime factor behind their effects on educational performance is likely to be the huge resource gap between the sectors."
It sounds OK but it doesn't bear scrutiny. He is referring to a less than twofold difference in resources, but on some outcomes (which is arguably a more worthwhile metric) the top quintile of state schools and the bottom vary by a multiple that is more than ten times larger.
Furthermore, if 85% of the wealthiest 5% (and half of the top 1%) send their children to state schools, It is not credible that they have chosen the lower tier of a "two-tier" system; and indeed they have not - outcomes from the state schools that they use are the same as from private schools, despite having half the resources.
So our professor started off with a set of recommendations, worked backwards to provide a rationale for them, and came up short - because all state schools are not the same, contrary to this and other academics' putative "two-tier system" on which pretty much all of this is based.