Of course Leavers would have fought on, but not by demanding a recount, or denying the legitimacy of the result, even though the dice were loaded in favour of Remain from day one (and further prejudiced - the point when my speculative optimism as in "we may just do this" turned to despair with the murder of Jo Cox).
Leavers (unlike Remainers) knew that voting to remain was not a vote for the status quo and stability because the federal project would proceed apace pushed by the Commission in its clandestine without ever wider jurisdiction over the policies of the mmber states. Further, that the inherent instability of the Eurozone might create a new economic crisis, e.g. a collapse of the Spanish banking system, or the need for an Italian bail-out.
The UKIP vote would not have dissipated, and any future EU power grabs or economic catastrophes would strengthen in it in the Keynsian spirit of "when the facts change...". Not in the deceitful way the quote is used by Remainers ("Brexit lies exposed!), but in the sense that real[i facts have exposed the fragility of the Eurozone, or have revealed more clearly the political aspirations of the EU oligarchy. These aspirations, by the way, are not necessarily base, and in some ways noble. But they are [i]irreconcilably] inimical to the sense of national identity and pride which many of us feel. I would have thought the Scots especially would understand that.