Hmm, that’s interesting. Wouldn’t work now as second vote getter would be opposing party, not workable. Of coures Geo. Washington abhorred political parties for the very reasons that have shown them to be a very bad idea. His idea was whoever runs, runs on their own plans and merits, no parties involved.
But, there were opposing party VPs in all of the early administrations.
Adams and Jefferson did not get along but served the people together.