I asked a friend, who is a retired TTB agent, and he said that the TTB puts in the class and type, so JD is not the culprit. Circa 2003, TTB stopped requiring, or letting, the applicant to make the choice, i.e., applicants entering the class and type on the on the application. The TTB makes the decision for the applicant.
I expect Brown Forman is content to let the public perception of Jack alone.
There can be negotiations but the TTB has the final say, even if it's dead wrong.