No, it's a bit of sourgraping for me. Am I just afraid of the chances transfer students have in these schools.

Most Ivy League schools really don't take transfer students, I'm afraid. Some may possibly take in a few and likely without financial aid. I think Pennsylvania rejects applications from transfer students to their undergraduate business program. But then again, you better have an academic record that turns heads around.

Sheesh, it's the same thing somewhat with private schools, which are not obliged by the state to take any significant number of transfer students.

Public schools, on the other hand, often take a considerably high number of transfer students (which makes it much easier to transfer into them), out of necessity.