I agree with @bluedog. Everyone who applies early enough is offered an interview (almost always). The decision to offer an interview is based purely on alumni availability and has nothing to do with a student’s grades (or perceived status).
I too live in a hyper competitive region. I went back thru my records. In 2014 we interviewed a total of 296 students (35 ED and 261 RD). The acceptance rate for ED was 40% and for RD 10%. In over 10 years of doing interviews, I’ve only had one student turn down an interview offer. So even if you are a strong student, most will accept an interview if offered. Our regional committee last year couldn’t offer interviews to everyone though. Of the 296 students, about 90 weren’t offered an interview (not enough alumni available). Unfortunately I don’t know the break down of the acceptance rate by interview status. But if a student was not offered an interview, then I don’t think it harms or hurts either way.