51.89% vs 48.11% is not a resounding victory
Actually, it's not really 48%, in actual fact only 34.7% of eligible voters voted to remain, with about 27.8% not voting and who have to be assumed to be happy with "whatever the outcome is". So there's an argument that around 65% were happy to leave - 65-35 is a somewhat higher margin !
But, the remoaners say, "that's not valid". When you can argue that, but if someone really did want to stay, they should have cast their vote - if they didn't then they should be assumed to be happy with the outcome of the vote by those that did actually vote. I think we can be sure that had the vote been similarly tight the other way, remoaners would be quick to point out that less than 35% of voters actually voted to leave.