Originally Posted by
star_world

Why on earth would that be the case? You can get an agent who can resolve this issue through the Elite line (non-toll number) with a few seconds wait. Why make it hard for yourself?
There have been plenty of times this year where the elite desk (at least for Golds) has a 30-45 minute wait to talk to an agent this year for me. One of the things that keeps my flying AA is that even calling the phone lines for kettles gets me talking to a human being in <30 seconds.