I doubt many voters based their choice on what we were being told as from the word go we knew we were being fed BS, it has been discussed many times why those that voted out did so and as far as i am concerned what we were fed before the vote will not have changed their opinion.
If we were to have another vote would we now have 3 options Hard Brexit, Soft Brexit, No Brexit?
I'm not sure what else they could have based it on.
And I think that would be the fairest three options.