If I had voted remain you could say I had done so on lies if my motivation was to prevent house prices dropping by 18% [1] - where as actually they have moved about 18% higher [2]. There were no specific claims about removing foreigners, only the factually accurate statement that we could move to a points based immigration system if we wanted to.
[1] https://www.theguardian.com/politics/2016/may/20/eu-referend... [2] https://tradingeconomics.com/united-kingdom/housing-index
Might it not be fairer to state the sentence either as this:
> I'm sorry that the reality I want to believe does not line up neatly with the one you want to believe
... or this ...
> I'm sorry that the reality I experience does not line up with the reality you experience
All in good faith of the discussion.
As an aside, this sort of attitude is probably why you ‘better educated’ people lost the vote.