SandyC877 wrote:From what I can gather, the majority opinion is that PS can hurt you, but it can't help you.
You're far from a lock at Yale or Harvard. They get enough applicants with your kind of numbers that they can easily reject you and keep going if they want to. Lots of people with "solid" numbers like yours get rejected from Y or H every year and go "what happened?"
Given that, I'd imagine a solid PS would help you in that it would help keep you from getting rejected there.