While anecdotally, many people have been frustrated with this callcentre, I think that may well be with the often everly demanding expectations of the clientele it largely serves, as well as the fact that BA does things differently from most of the US carriers, which obviously can cause dissatisfaction.
I've been particularly impressed by the cogent and knowledgeable posts by one of those operatives who posts here; thank you for your insight over the years.
I do hope a 24/7 global solution is put into place, and that person is one of those asked to assist with the training and handover - could be a whole new career beckoning.