No, absolutely none. This is the same for all airlines. Only "Global Entry" gives you any priority.
Being in a premium cabin (F/J) can be helpful in some circumstances, as it allows you to be first off the plane and (if you walk fast) first into the immigration queue. Sometimes this works great if there are no other international arrivals around the same time - like the late flight into Boston, the BA flight into Austin etc. At JFK at peak time, it won't make any difference.