On the outbound DOM leg of a DOM/TATL trip Mrs K and I were surprised when the CSM approached us and said we were being given a "Priority transfer" from T5 to T3. This turned out to mean being taken down the jetway steps at T5 to a waiting people carrier and being driven to the T3 departure gate - which took all of 10 minutes rather than the usual 40 mins on a bus. The whole process also bypassed T3 security (we were asked to show our passports and tickets by the driver). We had a two hour connection, so there was little likelihood of us missing the connection (although arrival at T5 was 15 minutes late)
We are only Silver and were travelling WT+ so I wonder what are the criteria for such luxury arrangements - can we expect it on our next trip?
Then the icing on the cake - after getting to T3 we then got the magic beep at the gate and were upgraded to CW and even better to the Upper Deck.
It does give you a warm feeling about BA!