I agree. IME I found BA's F cabin very warm and stuffy. This plus the lack of a NCHs meant I slept better on AA whose cabins tend to be cooler. Foodwise I found the food on better on AA than BA F aside from an exquisite dessert. However I have a feeling this has been down to bad luck on BA.

In short it's close, I would probably take the most direct flight. In OW I would only go out of my way to sample CX and LA F (pre recent changes). Use of the BA lounges and spa would swing it to BA ex-LHR. Mileage earning and being on "home turf" as an EXP would swing it to AA.