The problem is that this really is two different issues. The link provided clearly spells out what you're entitled to (your actual question). The problem is in receiving said benefits. For all intents and purposes you are 'Priority Access." Since it is not on the BP, as you noted, you'll likely not get Priority Access for security lines, and boarding is a mixed bag.

Since the question of what you're entitled to is pretty cut-and-dried, and the issue is more about enforcement and consistency, I'd suggest writing to AA about this as they're the only ones who can actually do anything about this.

Cheers.