People’s Vote?

I have just heard on the news that Labour is being urged to endorse the idea of a People’s Vote as part of its Policy over Brexit.

The question I have is what is such a vote likely to achieve?  If politicians themselves, given all the resources, intelligence and information, briefing papers and the rest of it at their disposal cannot significantly or conclusively change their minds, so as to find more of a common objective, how can the people themselves be expected to achieve this?

It seems like delegation on a grand scale: delegation of the MP’s responsibility to the electorate.

Surely the response must come from within Parliament itself and that response should then give the people something more to think about and decide how they want to position themselves in relation to it.