The stuff about "respecting the people's will", while resisting any attempt to ascertain what that actually is at this time, is of course a smokescreen. The reality is that what actually drives Brexiters who talk in those terms is that they see any fresh vote as threatening to indicate that there is no longer support for leaving the EU.

That's a very reasonable basis for opposing a fresh vote. It's got nothing to do with "democracy", but it a fair enough expression of realpolitik. Holding on to your winnings rather than risk them is not a completely dishonourable thing, even if it is shaky morality. But pretending to be acting out of principle when doing that is pretty shabby.