AirOli wanted to use this agreement last week in ORD, having an onward flight in SWISS C class. The agent at the AAdmirals Club told him that the agreement would only be good for JFK and DFW but not ORD.

From qualilfyer.com:

American Airlines Admirals Club. You can enjoy access here, provided that:

• You have a First Class or Business Class ticket or boarding card for an international departure or onward connection on SWISS or SN Brussels Airlines.
• You are departing on the same day or before 6am on the following day.