Close run votes generally tend to a contentious outcome. Whatever the vote was on, the losing side would argue the toss. But a majority is a majority.
It is lucky we do not have an electoral college to give the regions more say because regionally the vote was around 60+% for out.
This would cause even more strife and whining that it is not fair.
For myself voting was not a straight issue. Many aspects of the EU are of benefit. Many are not, especially the race to federalism and the holy trinity of france , germany and stupidity trying hard to alienate the majority.