And it is undeniable that significant components of the Leave campaign was based on lies and myths, which those less able to discern facts from lies were more likely to accept as true.
Exactly - but not only that. The lying, soundbite, oversimplified campaign tactics were designed to appeal to people with less education and knowledge, and who were in greater need of change.
Who really needs the NHS to keep them alive and has the most contact with it? Poorer and less educated people, because they have worse living conditions, worse health and less money on average. And older people, who are more likely to be unwell.
Who perceives themselves to be most negatively affected by immigration? Poorer, less skilled people.
It's not just this referendum either - the tories and the right have always used these issues to appeal to poorer, less educated people who are being shafted and want change. But they are being shafted by the Tories, not by the EU or immigration.