If I were a third party trying to mediate in this Brexit lark, I would draw a simple continuum: hard absolute, no deal Brexit one end, Remain in the EU at the other end.
Hard, No Deal Brexit <----------------------------------------------------------------> Remain in EU
Then look at the vote.
If it was 100% Leave, or there abouts, that would suggest the Hard, No Deal Brexit.
If it was 100% Remain, or there abouts it would be Remain, or even further integration.
It was 52% to 48%, that would suggest that we remain as close as possible to the EU, only just out, in name only, if you like.
Of course, as John has said many times, the Leavers do not really know what they voted for (I am not talking individually, but collectively)
The problem is that the option was one ended.
So the continuum would have to be re-drawn:
No Deal Brexit,---------A CU Brexit--------The CU Brexit--------|Vote Option|->Remain
CU = Customs Union.
Apply the 52% to 48% to that continuum. But remember where the 'vote option' was.
But I am a firm remainer, so I would suggest that any fudge is the worst of all worlds.