It's a bit counter-intuitive to know that I can earn more miles on JL econ fares, vs AA (and possibly upgrade to Business)
So, the only time I should be flying with AA is when this particular flight costs ~2200 for both JL and AA... WOW, it seems really counterintuitive...
Every situation is different with regards to fares, flight distances, booking codes, LP earning, etc. which is why I mentioned you always have to do the math to compare booking AA flight numbers vs. booking partner flight numbers. In some instances you'll earn more LP booking as AA and in other instances you won't.