Actually the AA rule requires a same day Oneworld international F segment and not an F international departure from JFK. However the wording is subtle so I'm sure some agents will mis-interpret it, and I've had status based access for a decade so this is an academic rule from my perspective. The specific rule from aa.com is "Credentials required: oneworld customers must be departing on a oneworld operated and marketed flight and, produce government-issued photo identification and, an Emerald or Sapphire frequent flyer membership card or, a First or Business Class boarding pass for the journey's international segment on the same day or before 6:00 a.m. the following day." Now "international" excludes Canada, so you need a same day F BP from HKG.