That's not what Carracci looked like! That's a portrait of someone else entirely, by Franciabigio. There are no portraits of Carracci. Like most Renaissance artists, he probably wasn't rich or famous enough to have a portrait and of course, cameras didn't exist 500 years ago.

There's something else odd about Carracci. During the Renaissance, the patron dictated the subject and the artist executed the work. It was very rare for the artist to impose his own interpretation of the subject. Carracci was way out on a limb to suggest a radical approach to his patron's subject.