Do you think the average Sun reader can tell the difference between hyperbole and sincerity every time David Cameron speaks?
I used to work for a Member of Parliament. We used to get angry phone calls and letters from people who honestly, genuinely believed that, for example, every asylum seeker coming to the UK automatically qualified for a new car, free of charge, at the taxpayer's expense.
Of course this is rubbish and asylum seekers do not automatically qualify for free cars. However, some people believe that such things are true.
The reason that people believe such utter rubbish is because people like David Cameron make absurd, hyperbolic, falsehood-laden claims in Parliament, and a simplified, biased version of those claims is then reported in the tabloids, and discussed in pubs, workplaces, and homes, and over time some people accept the narrative of hyperbole and lies as fact.
David Cameron knows this, and he does it on purpose. It is shameful and it is right to expose it.