What are you drinking out of in First Class?
AA has domestic service (grey plastic tall cups with American Airlines built into the mug) and international service (more recently the while pottery mugs they keep warm and has a blue American Airlines on it).
If you are drinking from styrofoam .. you's in coach!
They used to have cups and saucers in first but they held a smaller amount and cooled off quickly.
On the ex-Japan service they serve tea in proper tea cups that are pottery.
PS .. I got some on e-bay! wink!