Which was the problem with the referendum. As in the example comment above it was like asking "Do you want lower taxes?" Well that kind of depends on a lot of stuff. Are the lower taxes coming from budget cuts (if so, from what), debt increase, or what?
What information then was available but the public didn't know?
> Because no one could have possibly known what the terms of Brexit would be, because they would have to be negotiated.
So then it's fair to say that information was not available.
Let's keep people A and B, but also add people C through CZZZZZ. And now we no longer need to frame it as an intractable argument between two people; we can recast it as an opportunity to re-survey all these people's opinion in order to see how everyone's opinion has changed in light of the new information that's been presented.