I take your point - it wasn't like Labour was Remain, and Conservatives were Leave - in reality all major parties and much of the establishment was remain.
But I'm not sure that's dishonesty in that people were deliberately saying things that were not true - people were instead saying "These are the things made possible if we leave the EU and you vote for a party that wants this in a general election."
The point as I understand it is that there was no unified vision for what leaving the EU would look like. There was instead a multitude of voices making (in many cases) grandiose and outlandish promises. For example:
"So within two years, before the negotiation with the EU is likely to be complete, and therefore before anything material has changed, we can negotiate a free trade area massively larger than the EU." - David Davis [https://conservativehome.com/2016/07/14/david-davis-trade-de...]
This meant that even when Leave won, there was a great amount of confusion and turmoil over what that actually implied. That's why the Chequers deal fell through despite fulfilling the outcoem of the referendum.
As other people have pointed out in this thread, though, there were equally outlandish claims made by the opposition of what would happen after a vote to leave by the likes of George Osbourne and Mark Carney.
I don't think the implication was that only Leave lied. The point is that there was a clear plan of action if Remain won, but nothing of the sort if Leave won. That means that no one really knew what they were voting for beyond the technicality of leaving the EU.
That's what happens when you all of The Establishment in favour of one policy. I don't think you can blame Leave for that. It's more the fact that the main parties were (demonstrably) out of touch with the majority of the electorate.
Well, Vote Leave was the official campaign. And they did set out a post-Brexit plan. They had the opportunity to define what Brexit meant, but they didn't do it.
I wouldn't have minded this so much if there was a continued democratic process to decide between various possible Brexits. There's an argument that the decision of elected MPs constitutes a democratic process, and I am sympathetic to that argument. I guess I would counter that this was such a momentous change and that very few people had elected their local MP on the basis of what their position on the EU was.
But I'm not sure that's dishonesty in that people were deliberately saying things that were not true - people were instead saying "These are the things made possible if we leave the EU and you vote for a party that wants this in a general election."