Actually after the last steam locos went in 1967 the Southern Region changed over all their allocated Mk 1 stock to this, air brakes (only) and ETH (only), thus making them incompatible with Mk 1 from other regions. I suspect they would have liked to paint them green as well! This stock, used on Oxted line peak services, Southampton boat trains, and the relatively few other loco hauled trains they had, suited their Class 33 and electric locos, which never had steam heat capability from the start. The principal remaining loco hauled service on the Southern in the 1960s-70s, Waterloo to Exeter, had not only its Warship locos (vacuum brake non-ETH) but also the carriages supplied by the WR. When it changed over to Class 33, all the stock, still Mk 1, had to be changed over as well to air brake ETH.
Presumably none of the Mk 1 stock on the Bluebell or Watercress etc therefore come from SR stock.