Lan Chile has taken away the market AR left open after they left LAX. AR had flown here since the early 80s (or late70s?) flying in pretty much all of the Argentinian and Peruvian community that now resides in California. The brief resumption of AR's services into LAX between 2000-2001, was not very popular and registered low load-factors due to competition from LAN, which offered better service, daily schedules, and a consistent product (even if it meant an extra stop in SCL).
In my opinion, (and if there is a way out of Category ll for Argentina) AR might want to restart services to LAX flying their old EZE-LIM-MEX-LAX route. Although it's a route with many stops, it would compare with LAN's: LAX-LIM-SCL (stransfer of plane) SCL-EZE. AR would benefit from 5th freedom rights to/from Peru, as those are not hard to get, and add MEX to its route network. The only problem would be trying to get 5th freedom rights on the LAX-MEX sector, which are not so easy to get.
Pan Am - The World's Most Experienced Airline.