Re the class 33, "Heavy express passenger trains" would probably have been double headed so potentially there would have been twice the power available for heating/air con.Indeed. But only for relatively short trains without air conditioning.
I agree that the other regions were slow in switching from steam to electric heat, but a satisfactory solution for electric heat from the locomotive to heavy express passenger trains only came with the Brush dual wound alternator in the late 1960s.
All of these would have added too much weight and/or drawn too much power from DMUs mostly powered by 150hp bus engines.
Re power doors drawing too much power for DMU's I cant see this as the doors would only be operated when the train was stationary i.e. not needing power for traction. With regard to power for aircon you could have a system where the aircon was temporarily switched off when the maximum power was required for traction (as I believe applied to such as the Deltics). Alternatively just add another engine, admittedly at cost.
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I believe the class 33 was ordered in 1957 ie before BR had gained any experience with modernisation plan designs.The 33, 37 and 47 were only purchased after experience was gained with the modernisation plan designs.