Yes, Prime Minister, question order does matter -- and it's certainly not classical! But is it quantum?

In an episode of the satirical British political sitcom Yes, Prime Minister from the 1980s, Sir Humphrey Appleby once explained to Bernard Woolley (two of the characters) how it is possible to get contradictory polling results by asking a series of leading questions beforehand. The polling discussed in the episode concerns whether the public is for or against the reintroduction of national service. Recently, the leading questions outlined by Appleby were put to the public by the market research and polling giant Ipsos, the findings of which have been made public to raise awareness of the fact that people can be misled by means of a such questions [1]. The actual experiment conducted by Ipsos is explained on their web site: "Ipsos interviewed a representative quota sample of 2,158 adults aged 16-75 in Great Britain. Half saw the'Sample A' questions, reflecting a positive view about national service. Half saw'Sample B', reflecting a negative view."