Your background and letters of recommendation are factors that you have the least control over. So the fact that I am CA ORM who doesn't attend HYPSM, or uninspiring (not poor) LOR(s) might've made me "glossed over" when the AdComs are debating between borderline candidates.
I honestly believe that anyone critiquing your interview performance without having been there is grasping at straws.
The simple fact is, it's a very competitive process, the II to A conversion rate is far below 100%, and the cycle isn't over yet. LORs are not your problem if you are receiving IIs. That is the answer to your OP.
Beyond that, who knows? Maybe your interviews all sucked. Maybe you are just a victim of bad luck and insane competition. Maybe you are still going to receive an A.
Rather than focusing on your LORs, the best explanation is
@LizzyM's staircase analogy, in which your interview performance is NOT the only deciding factor post interview, because your interview performance is just one element of your file, along with everything else. Maybe your GPA isn't the best when stacked up against the other T20 candidates. Maybe it's your MCAT, ECs, LORs, interview, essays, or any combination of them. Why focus on LORs? Is everything else in your file really as awesome as humanly possible?
🙂
Going in, you were good enough to receive IIs, but the numbers dictate that everyone receiving an II is not going to receive an A. There might not be anything wrong with anything in your file, including your interview. You just might have missed the cut if, after eliminating everyone with problems, they still have too many candidates for the available seats.