As you state above, the offer of an EU referendum was on the cards before our poll, so for me they took liberties about us remaining in the EU before our referendum took place, along with many other things, knowing fine well they couldn't predict the result of the EU referendum.
I call it lies, you can call it whatever you want. If Scotland votes to leave, they will let us join at super quick speed. Not a fact by the way, just an opinion.