…the difference being that someone like Cummings at the time didn’t have the heft of the Establishment behind him. Anyone can “call” for anything, doesn’t mean it’s going to happen. The “Peoples Vote” or secondary confirmatory vote was favoured by a large group (perhaps a majority of) MPs, the people who have the power to pass laws.
The examples I gave in Denmark and Ireland were of real re-runs of ballots organised by the state where the outcome was changed. Beyond the treaties of Nice, Lisbon and Maastricht I could have also mentioned examples in France and the Netherlands where the pro-EU lobby had a second bite of the democratic cherry by being able to make amendments to treaty proposals before organising a second ballot relatively close to the first. This is not something that usually happens after a referendum, which is why people link the EU with “keep voting until you get the right answer”, which I personally think is profoundly anti-democratic.