The vote in 2016 was on the form of words on the ballot - to leave the EU or not. Nothing about any of the other things peole might have had in their heads that led them to vote either way. Nothing about immigration or single market or customs unions.

Talk about what degree of "hardness" is or is not compatible with "Bexit" is irrelevant. We didn't vote about "Brexit', just on leaving the EU, which is a political structure that has only existed since the Maastricht Treaty, long after we'd been linked into what became the EU. So it's quite right to say that the "softest" departure from the polittical structure of EU, without disturbing Any of the other links we have built up with its members, is perfectly compatible with the referendum result.
...........

If I'd had any difficulty in deciding which way to vote, the promise in the Labour Manifesto to give so long delayed justice to the Chagos Islanders would swing it for me.
If the name doesn't ring a bell, read this summary of the snameful episode. And of its if anything more shameful sequel, lasting till today.