Nor would I.
But what you dismiss as a technicality others would call the fundamental law of the land. And...is the "will of the people" expressed by counting the popular or the electoral college vote? By the popular vote or by the Congress acting in accord with Consitutional mandate?
Since 11 of the 16 states in 1800 chose their electors by vote of the state legislature rather than of the people, there wasn't really a "popular vote" of the people in that year.
I cannot imagine that the Founders meant the clear intent of a state's vote to be voided because of a minor paperwork error. It wasn't like there were two sets of electoral votes that needed to be chosen between as in some later elections.