I got into HLS, SLS and Chicago (3 for 3) last year, top 2% (3.84) gtown PT. A friend of mine was top 5% (3.75ish), gtown PT who applied top-8 and didn't get in anywhere. I was shocked that I swept and my friend didnt get in anywhere. I didnt think the ranking was that much of a difference and my friend's resume was strong. I heard that another Gtown ptime student applied, but didnt get in. So who knows. As for HLS, the HLS transfers are no.1/top 2-3%, and I am sure it is the same at Yale and Stanford. IMO you need top 2% or something that stands out on your resume that brings diversity (e.g., unique work experience).
On a side note, do not bring PT up on your application or in your essays unless the essay specifically asks for it. You dont want to raise a red flag. It is possible that it will be overlooked or that they will bend the rules/guidelines for you because they decided to accept you before they realize, if they realize, you are PT. Many schools say that don't accept PT (HLS) but they did in the past and will again in the future. I dont think there are many admissions per se rules (e.g., acceptig late applications, etc.)