Sorry, you misunderstood. I’m not a college applicant. Merely a hypothetical question.
Since you had mentioned Stanford, I was just curious whether the cross admit of students between various top schools were, in different categories. Bayesian probability. Does being admitted early (non binding for this hypothetical) at Stanford signal a greater chance of being admitted to Williams AND vice versa. Or do schools look at different things. My belief is that a talented curious student would thrive in and probably enjoy both environments (assuming not engineering of course).