Depends on what you see voting Leave as being for. I kind of get the feeling that Peston is talking about voting Leave as not being about the EU at all, which I think many Leave voters would disagree with.
Certainly the referendum was a clear opportunity to send a message to the "political elite", given that most of them were in favour of remaining. But I think that there were better opportunities to send that message, or at least I'm not sure I agree with the timing.
And besides, has it really worked? Well, we'll have to wait and see. But it's not clear that politicians have listened to the right thing, yet. Theresa May in particular pulled the normal political trick of saying one thing and doing another (in calling an election she said she would not), and while she paid the price for that I'm still not sure she and her colleagues got the right message.
So we'll see. Certainly a victory for Remain would have been a lot more boring.