The problem there is that if both binary choices leave us worse off than we are now - and that's the case - it;s not unreasonable to include an option where we abandon the idea altogether.
In any case, a new referendum should be properly legislated : EITHER it should be "advisory" (as the 2015 Act stated) OR it should require a clear majority, e.g. at least 55% for one choice, or that over 50% of the electorate - not just those who voted - should indicate a particular preference. And anyone who lies during the campaign - ON EITHER SIDE - should be held liable to criminal prosecution.
Also, bear in mind that we now know much more than we did in June 2016, such as the customs union, 'just in time' manufacture, the need for perishables to pass quickly between neighbouring countries, the impact on medicines, the nature of WTO trade and how we will be treated, other options such as Norway (championed by Farage before the referendum) and EFTA and the EEA, and most important of all the role of the Irish border. People who voted again would be much better informed. Of course, genuine Europhobes won't change their minds, but others may well do.