Yeah, you do. There are also other reasons you don't do it. I wouldn't do F with my 2-year old, for example, and I've just booked an Economy short-haul ticket because the back has 3x3 seating (and there are 3 of us) whilst the front is 2x2.

The uber-millionaires (the top 2,000 or so UK earners) are relatively inconsequential to BA anyway. BA probably has around 700,000 F seats to fill each year, based on 100 l/h planes of which say 70 have F doing 2 legs a day at 14 F seats each.