As opposed to state run education where the best possible education is available to everybody? Is that what we see in public education?

We do see this in Switzerland, Finland, etc. But this is due to a competent Department of Education, which simply doesn't exist in the UK. Infact the UK DoE isn't even just incompetent - it is quite clearly maliciously sabotaging education, there is no other logical conclusion for the farcical policies that are in use.

What kind of UK policies are you referring to?

Or you have state-run education as another competitor. Or you can have the state sponsor promising but poor students. You can even incentivise private enterprises to give bursaries to promising but poor students.

You could use a voucher system where everyone pays nothing although I don’t think that would be optimal.