Did you try to dine-on-demand off-schedule on AA in F?
Last time I tried that, by asking for some of my meal to be held until later, it worked out poorly. The AA crew told me, with an air of amused incredulity at my request, that there was none left of what I had asked to be kept for me. It was clearly a concept they did not entertain.
BA crew have never failed to keep my requested item for later and dining off-schedule is entirely within their worldview.
The peanut gallery likes to slate BA F as "J+" but AA F really is "J+", the service style is exactly the same with better items: slightly better food, better seat, etc.
I might take AA F if I had a strong need to work intensively on a daytime flight as the desk setup is actually pretty good, basically like a flying "office by the hour" setup (think Regus). Otherwise, BA all the way.