I think the bigger issue between the two is that on AA it is if you are a US CP, it will automatically show that you are EXP on the little hand hand devices. I was in coach the other day and saw that the EXP were a different color (by seat) on the hand held device and I was the same color as EXP.
On US everything is still in the dark ages so they only have those paper logs...
On the US menu at the bottom it says something to the effect that US CP, AA EXP, and concierge key members get one drink and one snack. I would just show that to the FA and it should solve the issue.
Hopefully, at some point US will be upgraded to the AA scanners.