That's not "letting in poor people" as you framed it. It's letting in dumber people, worse students. Lots of that is mainly based on classism (against people from middle class), racism (against white people).

This obviously doesn’t follow, and you should feel a decent amount of embarrassment for ignoring the fact that exam grades don’t correlate with “dumbness” or lack thereof.

It should be trivially obvious that a student who is perhaps from a less well-off background, attending state school and achieving decent grades, can be equally as talented and deserving of a top-tier education as a better-off, privately-educated student.

Access programs go some way towards trying to tackle snowballing generational inequality - which essentially results in a bias away from merit, and towards those able to afford private education.

If you want to argue against that, then fine - but at least don’t start with such faulty assumptions.