There is an image on Alamy describes as “London Airport around 1953” in which there is a building in the centre background, the roofline of which (although seen from a different angle) does appear very similar to the building pictured in the scene from ‘TheLimping Man’, so I would inclined to think it possibly is at Heathrow.

However, that Alamy photo shows a Bedford CA van pulling the passenger steps, and they weren’t introduced until 1959, so clearly that photo was taken much later than 1953, and as has already been mentioned, much of the building development shown wasn’t there until the 60’s?