It was a non-binding referrendum. Yes, I know I keep going on about that, but I think it's really, really important and that fact seems to be being disregarded.
Then why did you even have the damn thing? Why is a "Non-binding resolution" even a thing that the government can do?
"Hey everybody take time out of your day to come to the polls and officially answer our question we are posing to you even though it will literally not matter."
At this point you essentially are arguing that you asked the people whether or not they wanted to leave the EU for the sole and only purpose of laughing at them when they got it wrong.
And I don't want another speech about how Brexit is bad or a list of all the reasons Brexit is bad. I know, I agree. I don't want to be reminded again that the vote was non-binding. Again I know, I agree. I called it a glorified opinion poll a hundred pages ago.
If Brexit was never going to happen, you shouldn't have asked people if they wanted it in an official manner.
No there was never a "If you Vote X then Y Will Happen" but its completely reasonable for a populace to expect a question posed to them by their government in an official manner like referendum to have at least some meaning or intent behind it, more than a "Yeah we were just asking we don't really care what you think."