A handful of “concert films,” like Spike Lee’s The Original Kings of Comedy, have been considered for Oscars in the past because they had sufficient creative contributions that made them more than simply recordings of performances, but the same is technically true of Hamilton.
The question seems to be, are those creative contributions enough to get consideration.
Even when it comes to the documentary award, there’s still a chance that Hamilton could qualify.
And Disney is expected to still submit the film to the Academy as well, thus it will have to make an official ruling on eligibility.