"Back in ye olden days no students had cars."
I don't know when your olden days were, but a few non-mature undergraduates had cars when I was a student (RG, early 1980s). Usually the privately-educated daughters of helicopter parents avant le mot, who thought buses and trains were full of murderers.
For people who use private education (RG, yes?) then the moment their child starts school they are £12K/year better off. Giving that money to the children is just business as usual. In my darker moments, I think making everyone from private secondary schools pay overseas fees would be just.