I think you're way off base.
universal access to education doesn't provide greater upward mobility for the poor; it forces them to speculate, which gives them a hit-or-miss chance of success
Even if it's as bad as you make it seem, that's still a chance of success as opposed to not being educated and having 0% chance.
the businesses need these educated kids to succeed, and not enough rich kids have those degrees and those skills, so the businesses grab anyone who can absorb those skills and makes sure they get it.
The problem is they don't need to make sure of anything because there's plenty of investment from other countries to take advantage of. We live in a global economy, and we should be investing in our competitiveness.