What do top colleges have against transfer students?

@Tanbiko Eight were military veterans, and most came from community college.

Source: https://www.princeton.edu/news/2018/05/09/princeton-offers-admission-13-students-reinstated-transfer-program

I transferred to Stanford, and in my class only two of the 27 accepted transfers were recruited athletes. It’s hard to say exactly what it is they’re looking for, and you’re not wrong that people shouldn’t have high hopes to transfer to a Princeton or Stanford, but it’s not just athletes.