By that I mean, we have huge masses of music theory, applied across genres and focusing on differences between genres, in terms of heuristics for both analysis & composition, and because of a tradition of procedural generation of music that goes back a couple centuries, a lot of it is fairly easy to translate into computer programs. (For instance, end-to-end serialist composition is easier for computers than it is for people, while canons and other mechanisms for creating permutations of melodies are equally straightforward.)
This doesn't translate into a straightforward method for putting in two wav files and producing a third with transferred style, but it does mean that a sufficiently motivated person can write something that translates notes between two known genres with greater ease than they would with images.
(Text is somewhere in the middle. I've worked on a couple attempts at 'style transfer' for text -- mostly using word2vec.)