Ok. Let's suppose BA cut the OD benefit for cost reasons.
Let's also suppose the cost reasons include a (real) per passenger charge for a BA lounge visit.
Running that one along ... I don't see how the OD GCH is the problem. Either the per passenger charge is too high (some-one at BA has messed up the contract negotiation - across the whole network?) or the sums are seriously flawed (not only the 'financial hero' has got it wrong but the next two levels of review and endorsement are up the spout).
Sadly, I do not have faith in middle managment in most organisations to weed out flawed short-term propositions. In pre and post privatised entities my experience is the short-termism and own-department centric natures are worse.
BA is a case in point where long-term focus, on the customer, comes cross as sketchy to say the least. With the new guy at the helm I was rather hoping for a rapid improvements.