They have the same rules for the Admirals Club access but I have never been turned away in the past when flying on AA as long as it is a legitimate itinerary (i.e. Not some multi city itinerary with forced connections). Last year I had LAX-ORD-Intl trip on AA where LAX-ORD was a red-eye connecting to a mid day flight to Asia.

Had no problems accessing QF F lounge or any of the AA lounges in LAX since it was on the same itinerary.

This is why I was wondering if others had any experience - this 6AM rule definitely does eliminate eligibility for all international J/F customers flying domestic red-eye (save for those flying to JFK/MIA in J/F) which I am sure is not the intention of the rule so that is why I find this rule to be a bit ambiguous.