If a society chooses to use a referendum, it better abide by the results. It is not a pretense.
The people made the decision, live with it.
And given that the people made the decision to go down this path, you can just as easily argue that it is only proper to have a 2nd referendum asking how they want to exit
(or whether they want to abort), given how incredibly bad the situation has been handled, and how indecisive the government has been on what appears to be no good options. It doesn't really make sense to say the people should be weigh in on leaving, but then when the govt cannot agree on how, that the people shouldn't again be given options for proceeding. Arguing against that seems more like fear that the people may choose to stay after all, in light of what has happened since
(and what they have learned).