I live in a university town. There are many, many people round here who value learning and education extremely highly, which is why they are academics. Academia generally doesn't pay terribly well, so they all send their children to the local state schools which are extremely good and not selective.
I grew up in an area with a grammar school system, and it was staggeringly unfair. Lots of middle class children went to independent primary schools, and the very few state schools in middle class areas spent the year before the 11+ giving all the pupils intensive tutoring (practice tests daily with weekly ones under full.exam conditions). If a child failed the test, he or she could still attend a grammar school if they went as a fee-paying boarder, so the well-off kids never went to a secondary modern. Some of the 11+ failures actually ended up among the brightest in their year groups.