That supposes that people knew the main driving force behind voting to Remain.
The problem the Remain campaign had was that they had nothing to sell.
Cameron / Osborne from the Tory perspective wanted a reformed EU.
Corbyn / McDonnell from the Labour perspective wanted a reformed EU, but a totally different set of reforms to the Tories.
Even Nick Clegg was calling for extensive reform.
The argument has often been made against Leavers, but what type of Leave?
Yet the Remainers I have mentioned above, all wanted a different type of Remain. The biggest issue was that none of them were capable of delivering what they wanted.