Everything has fallen into place. This has nothing at all to do with anonymity.
The more stressful BAA purposefully makes LHR, the more attractive the idea of this becomes for the small number that can just about afford it but wouldn't pay for it if LHR were more civilised.
It's just about logical for a relatively small number of genuinely vip pax who regularly travel longhaul (on shorthaul they might travel private) and for a smaller number who might stump it up for a special occaision. BAA's cunning plan is to make it even more attractive and even more profitable by making LHR an even nastier place to travel through.