Once again, random use of the term "liberal" creates confusion. Americans and the Internet.... The proto alt right of the early Internet made the term popular as a pejorative to describe socially liberal, economic centrists in America. The fringe left in the UK, wanting to distance themselves from the British centre left, eagerly adopted the term.
Consequently it now makes only vague sense (an ideal fit for the fringe left). Especially when suddenly the centre left are supposed to justify their "liberal" credentials. In the context of the referendum, it doesn't help anyones understanding.
Capital punishment would be a better example of the hypocrisy/paradox. Centrists have long opposed it, while upholding a belief in democracy (capital punishment being clearly popular).