> JFK requires an airport train to take you to the train station
It's the same train that takes you from one terminal to the next. The alternative would be to force the LIRR or the A train to stop at literally every terminal on its way to Jamaica/Far Rockaway. That would be way worse.
It's not like transferring between them is any more inconvenient than having to transfer between two subway lines, so it seems like a distinction that not particularly meaningful.