Not sure if this properly belongs in AA or BA, so please move if appropriate.

I am trying to book LHR-CDG on BA using AAdvantage. Currently, the only flight available is the evening flight, both in coach and business (same availability shows on aa.com and ba.com). However, EF doesn't show availability on any flights that day in X or U. I want to set up an EF alert for the earlier flights, but I don't have confidence that EF will show the availability since it doesn't see the available space on the evening flight. I am EXP (though I don't think that matters here since I can see the availability on aa.com even if not logged in).

You can try yourself to see the issue - June 1 LHR-CDG

Any thoughts?