BA (and Virgin) have totally seen off any competion at LHR, the Air France LAX service has been a failure and the route has been dropped. The only new carriers with any real pressence at LHR are the American carriers Delta and Continental with a few trans-atlantic routes which BA alteady competed with out of LGW and BA offers a far better and consistent product than both.
The whole open-skies event has been a total anti-climax with little or no impact on BA profit margins, if anythinng it can be argued that BA have done well out of open-skies as it has enabled them to move there Dallas, Houston and Atlanta services to LHR resulting in higher yields. Loyal BA passengers and believe me there are many loyal executive club members are not going to desert BA in favour of any of these carriers that have tried to gain a big market pressence at LHR.
The operation at LHR is now running at a good efficiency with the opening of T5 and this has solved many of the airlines problems, if WW starts aiming his cost cutting mesures at frontline staff he is going to cause damage to the company were it cannot afford to fail.
Damaging the moral of loyal staff is going to damage the moral of loyal customers which as the airline always points it is an important time to be keeping are loyal customers.