It's going to be wholly dependent on the fare class the tickets book into, and whether that fare class earns miles or not. I'd particularly be wary of booking anything on AA from this (or any similar) site before knowing the booking code, given the prohibitions on international O and transatlantic Q fares, but other airlines may or may not have similar restrictions.

I believe that the only assurance you'll get is by contacting them directly, as they're the only ones who have the information you need to determine whether miles are earned or not.

Mike