Be sure to read the page MikeORD's link leads to.

"Status accumulation" is the operative phrase here, it looks like. If flown as an AA codeshare one will earn as if on AA, if fflown as Jet and no codeshare any and all miles earned will not qualify as Elite-Qualifying Miles - only Redeemable miles - so they will not affect AA status one way or another.

Also note "Jet Airways flights between the U.S. and Brussels are not eligible for mileage accrual" (of any kind, unless AA codeshares, assuming they exist, and I have not checked one way or another).