This may not be relevant, but California does not allow sports recruiting for high schools, boarding private or public. Doesn’t mean schools don’t consider the sports prowess of particular applicants- just that they can’t go seeking out athletes.
My impression is that the policy does change the vibe on campus compared to schools that recruit. Sports won’t be so central to the school culture. I am not aware of post-graduate programs being a thing in California for example, and I would guess you have fewer students who apply as repeat ninth graders. So the student body skews younger. I haven’t ever seen data on that, though - I could be making that up.
I will say, if your intention is to get recruited for college in a sport, while it does happen, Cate is not your best choice. Too small to field the high caliber teams in all sports, and not enough exposure to scouts. Other bs in Cal, and smaller bs’s everywhere, probably have that limitation.