We have hundreds of years of Presidential elections to show that individual votes are insignificant. That's a lot of empirical evidence. And given the size of the electorate, the probability of a one vote margin is statistically extremely unlikely.
> It is a category error to think that only some of the votes matter, due to the quantities being what they are on one side or the other.
What is "matter" supposed to mean, exactly?
Let's say there's a ballot counting error, and the announced results are mistaken. Does that matter? I would say no, that doesn't matter, as long as the outcome of the election wouldn't change on a recount of ballots. This is why, by law, they don't do a recount unless the margin is extremely small. Because otherwise, it doesn't matter. The exact vote total is only of marginal interest; in a sense, it's trivial.