It's worse than that, Rhi.
The legal status of the referendum, as established in the appropriate legislation was advisory. For such a major constitutional change, no truly democratic nation would enforce a decision made by only 37% of the electorate - at least 50% (possibly more) would be required.
The trouble is that this fantasy Jackanory scenario relies upon a 100% turnout of the electorate (everybody who can vote does actually vote), something never in reality seen and only ever entertained in the fevered masturbatory dreams of totalitarian dictators.
Votes are counted on the basis of who has actually turned out to vote, not who might have done, could have done if people were smart like me and not knuckle-dragging
Sun-reading thicky thicko oiks like those over there who have a sofa in the front garden and an impressive display of unimpressive body art, who don't have all the facts not like as what I do.
Sorry to mop up your wet dream, but that's how the shit goes down when you're awake, up and about.
P.S. No truly democratic nation would entertain our current FPTP system. Yet here we are, rubbing our groins and slobbering a bit over how democratic we are with our representative "democracy."
P.P.S. "Possibly more" than 50%? "Possibly more"? WTF are you lot smoking?