When you are being interviewed, I don't think the interviewers have any idea of who was "first wave," "second wave," etc. I originally didn't get an interview offer from Cinci for 11/6, but contacted them regarding my desire to interview on that date because my fiancee was interviewing at Cinci on 11/5. They ended up giving me the interview and when I thanked Dr Stern (the chairman) for taking a second look at my application, he said he wasn't aware (or maybe didn't remember) that I was not in the original pool of candidates offered an interview for 11/6. I assume it is similar at other programs.
If it is a good interview and you are interested in the program, go for it.