AA intends to keep the JFK-CAI-RUH route initially, but I for one will not be surprised to see it axed within the year. The Middle Eastern routes are not particularly profitable for US carriers and they are head to head with local carriers who have a lower cost basis and plenty of oil money to suck up those losses. TW was able to subsidize this operation with their fifth freedom rights CAI-RUH, but I don't believe that those transfer to AA after the TWA, LLC period is done and the old TWA operating certificate goes away. The loss of that traffic will cause the route to go red, and AA will pull out of the market shortly thereafter.
"The A340-300 may boast a long range, but the A340 is underpowered" -- Robert Milton, CEO - Air Canada