I have to say, I still don't support overturning the outcome of the Referendum.
But I do very much support the proposal that there should be some Parliamentary process to determine whether, when we leave the EU, we also leave the Single Market.
That's not ignoring the will of the people, who didn't demand a 'hard' version of Brexit (or even express a view on the single market), nor is it traitorous, or the tyrannical agenda of a shadowy liberal elite operating from their secret base under St.Paul's.
It's just the kind of thing that lots of people in the country, including some who voted Leave, might reasonably expect to happen instead of having their answer to a binary question wildly and dogmatically over-interpreted.
It's like one of those fairy tale wishes that were worded with insufficient care. "You wish for ice cream? Very well, you shall only eat liquorice ice cream! FOREVER! Mwahhahahahahah!"