So if I understand the primary objection herein to a revote, it's that the democratic will of the voters must be observed. Therefore, if said voters want a revote to express their democratic will again, that's....bad?
Sounds more like Brexiteer fanboys are afraid that their not good idea is now largely seen as not good, and if put to voters they will likewise pronounce it, not good.
Only a relatively small minority are hard-up decided against doing a revote. Voters are
allowed to have buyer's remorse. It's why incumbents lose re-election. (Word is there are currently quite a few self-facepalming voters on this side of the Atlantic.)
And in this case, remember Brexit originally won with less than 52% of the vote! It's not like that razor-thin margin grants it an absolutely insoluble mandate for life.
Yes, the point about finality and not making the referendum a periodic recurrence is valid, but that's no reason to close up shop and ignore the will of the voters having serious second thoughts, any more than it would've been to ignore the original referendum results.