It's disappointing, but not surprising, that the focus seems to be entirely on the "wrong" side of the "desired" outcome. At this point it amounts to fighting very hard to find any reason to undo a democratically determined result.
Democratic yes, but ludicrous. Setting up something as critical as that to have such a slim majority decide is illogical. The U.K. doesn’t seem to get referendums. Important note however - they didn’t have a referendum to join the EU but maybe that’s covered by the one on joining the European Communities?
So you'd rather have a slim minority decide?