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Professional athletes are like people who get 1600s on the SAT; a bit of an outlier.
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That's exactly the point. Top schools are looking for outlier intellectual talent, but the egalitarian approach (high school grade inflation plus weakening of standardized testing) smooths the differences and makes it harder for them to admit the right people.

The visible result has been the weakening of these institutions. Do also observe that this is recursive — as these institutions have lowered their standards over decades, the people who go through them and end up leading them are weaker, too.

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We're talking about the California state education system here. They do not have the option to restrict the provision of their services to a tiny elite. The concerns of "top schools" absorbs altogether too much oxygen.
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IMHO, California state higher education is setup to be tiered. UC > CSU > Community Colleges. If UC is getting a lot of STEM students that need remedial math, I think something has gone wrong. Those students might be better served by getting their math needs met at a community college and transfering to UC later.

For one, why pay UC prices for remedial math? For two, community college has a lot more sections of remedial math and more experience teaching it.

If you're in a degree that doesn't need much math, taking remedial math at UC is probably fine; but all the STEM degrees want at least the full calculus series (afaik).

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> Top schools are looking for outlier intellectual talent…

Eh, somewhat. They want some of those outliers hobnobbing with the legacies.

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> tons of professional athletes come from poverty

Is that actually the case?

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Depends on the sport. I don’t think the Olympic equestrian competitors would be dirt poor.
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Read up on Kobe Bryant or Bronny James.
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Sure, those are some good counterexamples: both sons of professional athletes. And there are plenty of others.

On the other hand, we have: Allen Iverson, Larry Bird, Shaquille O'Neal, Carmelo Anthony, Michael Vick, Bo Jackson, Jackie Robinson, Babe Ruth, Mickey Mantle, Fernando Valenzuela, Albert Pujols, Jim Thorpe, ...

Oh, and LeBron James himself!

So my view is that people of both rich and poor upbringings have a good chance in the sports world these days, at least for those sports where the necessary gear is relatively cheap.

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Times have changed. Due to the rise of expensive youth travel club sports leagues I suspect we will see fewer poor children turn professional. There will always be a few outliers but if you don't have access to top coaching and extra competitive playing time prior to college then you're really at a disadvantage.
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According to IA this is mostly a myth though.
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