Which one wins wrote:
Thank you. It helps to know it’s pretty obvious I don’t sound excited about any of them except Princeton. I still do like or really like parts of all of them
I have Princeton admission green light on my test score/grades only as a supported recruit. You think I would get in unsupported based on the green light, but I don’t think the green light means anything for me applying unsupported? Because unsupported I am no longer a special athlete who can be held to a little lower of an academic bar, who is getting in because of running. I have to get in because of something else, and I don’t have anything else compelling, besides the legacy. Correct if that’s wrong!
I think you've got the right of that. It seems that all the Ivies are moving away from the legacy hook; if your only other hook is running, and the coach at a particular Ivy is not willing to use up a "push" for you, then realistically your chances of admission are Slim and None. And Slim's leavin' town.
Ivy admissions are so competitive that even if you could clear the "regular" bar for grades and test scores, you're more likely than not to be rejected if you don't have a hook that a given admissions office is looking for that year. Hypothetically, having had a piano recital at Carnegie Hall may not be a help if a particular admissions office feels like they've already brought in a lot of pianists for this cycle (and/or recent cycles). In other words: As many, many people have observed, Ivy admissions are a crap shoot (so apply widely).
You sound like you've got a pretty realistic grasp of your situation; if it's clear that the Princeton coach won't spend a push on you, I don't think it would be wise to make that your EA/ED school. And, again: Ivy coaches are reluctant to push someone who hasn't shown a commitment by applying EA/ED.
FWIW: I think Yale is a helluva school and you could have a great experience, but then I think that about Cornell, too! (Full disclosure: I have family connections to both, as well as other Ivies.) In any case, I wish you the very best in your college years.