However, that thread has some mistakes, at least w/regard to AA:

American

American will consistently match United status to equivalent level up to mid-tier (Platinum). They are quirkier about matching status from other carriers. Sometimes they'll offer Gold status. Sometimes they'll just ask you to complete a challenge (miles flown in 90 days). Sometimes they'll offer Gold status and a challenge for Platinum.

AA very, very rarely offers a direct match but rather requires the challenge.