'The people' never supported leave. Just over half of 'the people' supported leave and, however much Leavers on here might insist that they had done their research, knew exactly what they were voting for and weren't in the slightest bit influenced by the leave campaigns (which I find slightly suspect as we've had Leave mantras quoted time after time on this forum) it's been clear that a number didn't know what they voted for, or have, like Peter Oborne, realised that leaving is far more complex and damaging to the UK than they thought it would be.
Where you have a situation where for every 17 people who voted leave there are 16 who voted remain it really can't be called the will of the people in quite the same way that a, say, 70 - 30 split might have indicated.
The result was so close that it called for reflection and an attempt to find a consensus. Not for the 'will' of nearly half the voters to be ignored. Or worse, for them to be dismissed as 'citizens of nowhere' and so, by implication, worthless. A nation just cannot be treated like that.