A 3 option referendum would not work
The latest call for a referendum between leave, the White Paper terms and Remain is a non starter. We made our decision in the original referendum and need to get on with implementing it.
The EU will not accept the government’s opening bid in the White Paper so it is not a real option.
It is by no means clear we could get back into the EU on current terms once we have left in March 2019 were people and Parliament to change their minds. The EU would probably want us to sacrifice our veto on the Euro and Schengen, and lose the contributions rebate for starters. It would need to be negotiated, with uncertain outcome, so that too is not a fixed and available option.
There is no point in voting on two options the EU does not accept. The real referendum was about two straightforward options – stay in on current terms, or leave. The EU agreed to both under their Treaty. We voted to leave. We were told by Parliament and government voters were making the decision.