I think SFO is out because of when the flight arrived (middle of the night). Cathay Pacific 806 to Chicago lands at 4:00 CDT (in about 3 hours). Cathay Pacific 830 to JFK just landed a few minutes ago.
Also, @travilana posted the pic of the crew at 11:15 last night in HK. S/he said the last flight out that night to US was to JFK. Crew could get on that flight to get ahead, and then teams take the flight the next morning (leaving at 9:36 am, consistent with morning sun in new pics posted).