I don't really get the 'fairness' argument. The UK voted to leave the EU in 2016. In the two years since the populace has gotten new information that shows leaving is a really bad idea. On what sane planet do people ignore that information and undertake an enormously harmful policy in order to abide by a vote they don't even support anymore?
Well, I doubt either of us is going to change our minds. I'm really a bit divided myself. I mostly just wish one could go back in time and lock Cameron in a box or something and stop him offering such a stupid referendum in the first place. Or better yet, that there was some sort of pan-European leftist movement for European unity but against the way it's currently being run.
But as I see it there are two opposing ways of looking at it. The first supports your point.
One is that the question wasn't properly asked in the first place, people didn't have the information to know what they were voting for. Or, when leavers say they did know what they were voting for ('no deal') and that you are being a patronising middle-class elitist bastard to suggest otherwise, I would say that's fine but they didn't tell the rest of us that at the time. How are we supposed to know how to interpret their vote when the question was badly framed?
But the other argument is that we are asking leavers to win two votes to get their way, while remainers only have to win once. If the new result is a very close vote for remain, leavers could declare they want 'best of three'.
The crucial point is nobody believes if the first vote had been 52-48 for remain that we would now be voting again.
Ultimately if that happens, if it's a very narrow vote for remain, then a very large number of people are going to feel cheated and feel that they are in the EU against their will. I can see that causing _enormous_ problems in the future, especially given that the EU is going to be facing massive problems anyway. There will be even greater reluctance to obey EU rules, and probably an increase in xenophobia and votes for UKIP (which is now a full-on far-right party, in my opinion).
I've even heard some EU people quoted as wondering whether such a divided and unhappy UK might be a liability in trying to deal with the other issues the EU now faces.
Edit - if the poll results show a decent majority for remain in a new vote, that really reduces the scale of the problem. If the die-hards are all Tories anyway, then I could live with that.