I'm not sure how relevant this is, but about 5-6 days ago I sent an Email to AA Customer Relations (via "Contact Me" on the website) and they did call me this morning.

Of course, the email had emphasized that I needed a prompt reply and I had already taken the trip I was asking about. And, I'm not sure if was good or bad that the rep's first words were "I apologize for calling you early on a Sunday morning" and they called at 8AM and I had only gone to bed at 5:30AM (I go to bed late anyway and had taken a west-to-east flight the previous day so was jet lagged).