Re: As I understand it
Yes the Remain campaign lied. Though I think you would be stretched to match their lies against Leave's NHS claim, Turks invading the UK etc.
Thinking voters would on voting for their and their children's future would, you would have thought, taken rather more account of analysis coming from independent and disinterested people. Their forecasts had a degree of homogeneity. But then they were not seeking power.
Democracy - as this country has it - has one great purpose. To allow the peaceful transfer of power from one group who has alienated most of the country to another group who has yet to alienate most of the country. As bad as politicians are - it is clear to me they are more likely to take into account (and be held to account) for all the consequences of their decisions. This is why what they say in advance to get votes doesn't always match what they do in order to get the next lot of votes.
That's why referendums are generally a bad idea in complex situations. And nothing is as complex as the consequences of leaving the EU. One which both Remainers & Leavers are still trying to get their heads around. A final real sensible decision would be unwise until that has been bottomed out and understood.
The referendum sent a message. Taking it as an absolute instruction to plough on whatever the consequences on such a narrow margin is just foolhardy. I don't think parliament should reverse it. But I do think parliament should, if it is not satisfied with what the three musketeers come up with, put the final decision back to the people.