Rebooking Mrs P last night on a flight out of ATL in about one week's time, I was on hold for about 15 minutes. The BA agent was once again (I had to rebook myself earlier in the week) gracious, efficient and helpful. Well done to the ticketing staff who, I presume, will be under a lot of pressure.
That said, it seems to me that BA haven't got major disruption right yet. First the email/SMS notification of cancelled flights doesn't happen when there is wide-scale disruption (presumably this is something to do with processing the number of messages) and second rebooking via ba.com doesn't work for the reasons mentioned in this thread. You'd have thought that ba.com would have an option to switch on an override on keting restrictions, especially as I note Mrs P has been rebooked from a MFU Club World (presumably in U class) to a J class booking.