When are you flying? For the Summer 24 schedule, BA are flying the A380 to DFW (which has the same seat layout you would find on the LGW fleet). Looks like that switches to the 777 for the Winter 24 timetable which has the newer Club Suites product which is a BA-customised version of the seat AA use, so differences in hard product are minimal (AA seats don’t have the privacy door BA does). Agree with other commenters above the difference is more in soft product. I find AA tends to have more food, BA tends to be better quality. Service varies by crew but find BA are better, on average, than AA.