Who did, remain?
To state neither side had a clue is a massive insult to everyone who voted. You had your opportunity like everyone else legible to vote and yet almost 3 years later you use that predictable line like people should believe you? You're entitled to your opinion but don't confuse your opinion with fact.
I would argue that to speak with confidence about events that any economist will tell you are completely uncharted territory, is deliberately misleading, to say the least, and in any event it is an insult to the people they were trying to preach to.
We could have equally had a debate about how fantastic or how disastrous it would be if aliens landed on Earth. I have no doubt that there will be people arguing either case with great authority and conviction.
In short.... the side that won is the side that lied more convincingly. Might have gone the other way if Remainers were more imaginative and better liars.
The 'promises' made during the referendum campaign remind me of those ready meals that show a lovely photo on the box of a plate containing ingredients that are not actually in the dish, and the (very) small print says 'serving suggestion'. Apparently, Boris Johnson's Brexit Bus with the '£350 million a week for the NHS' was 'for visualisation only'. And David Cameron's 'warning' that every family will be 'precisely' £4,300 a year worse-off was based and several dozens of totally random assumptions that were reverse-engineered to arrive at this particular figure.
Of course significant part of the population had their mind all set up one way or the other and didn't listen to the propaganda either way. And that's fine. But somewhere there was a crucial bulk of 635,000 voters who found Remainers' stories less credible than those of the Leavers, and the vote went the way it did.
If I was to champion either cause, I would approach the public saying that we have no idea how things will pan out, whether the EU will play ball or not, whether we will be better-off or worse-off financially, etc, but we should (either) leave because we want to be free of the shackled of the EU, for better or worse, (or) stay because we are part of Europe whether we like it or not and we should be on board the ship trying to participate in its steering rather than jump overboard and float away on a dingy.
But no. They had to come-up with made-up figures that in reality were simply plucked out of thin air. And the rest is history.