Um, the OP brought it up as a way to "prove" that it wasn't the disenfranchised poor that voted to leave.
The data also suggests that people who thought the death penalty was inappropriate were more likely not to have voted to leave.
So lets be clear no one is seeking to "prove" that all leave voters were thick and couldn't be trusted with a vote.
You might have voted out because you believe its what is best for the country, that's fine, you'd be wrong, but we can use the data to analyse the leave vote and draw conclusions from it.
We KNOW that there were larger turn outs in deprived areas and that lots of these areas voted out. When interviewed people talked about disenfranchisement and kicking elites, now this doesn't suit some leave voters as it suggests that the people voting weren't voting on the issue at hand.
The fact that lots of people voted out on immigration, but the main areas voting out have low levels of immigration in general. Again it kind of takes away from the leave vote.
The fact that the leave vote who all shouted project fear when economic warnings were given, now find that lots of the predictions are coming true takes away from the leave vote.
In the end really, you can say you did it for XYZ, but lets be honest you voted alongside racists and xenophobes, alongside people who were voting not on the issue at hand, and alongside people believed the silly rhetoric of Johnson Gove and Farage. All in all you're not in good company.