My sinking feeling comes from seeing democracy dying, replaced by "right answers" declared from on high. Suppose the UK held a referendum about whether RSA encryption should be legal. The voters narrowly vote to keep it legal. Suddenly the press, the universities, celebrities and think-tanks start proclaiming the voters were mis-informed. That foreign powers deceived voters to keep RSA encryption legal. That the vote…
"Should the United Kingdom remain a member of the European Union or leave the European Union?"
The problem with this is that if you interpret it literally, the outcome is to leave the European Union, but remain in the EEA (single market), potentially also the ECJ and a number of other treaties.
This is why so many commentators have argued that no one really knows "what kind of Brexit" the public voted for.
The question was proposed with the expectation of a Remain vote. No one expected the Leave result, and as such, hadn't planned for what that even meant, let alone actually executing on it.