In music the "style" is the content in some sense. For example jazz has very different "style" than classical, at many levels (key and tempo choice/mode choice/melodic intervals/motifs/amount of repetition of said motif/how it varies/harmonization and chord choice/global structure (AABA format)) and it isn't easy separate what pieces make it "jazz", and what don't (what factors of variation matter).
The equivalent in images would be replacing objects as well as texture, to form a new image that is reminiscent of the original but also novel at multiple scales - think Simpson's "Last Supper" as the goal of a style transfer [2].
It is also hard because as consumers we are used to hearing high quality versions of these types of "style transfer" for some styles all the time - and we even have a name for it ... "muzak".
[0] https://raw.githubusercontent.com/awentzonline/image-analogi...
[1] https://github.com/chuanli11/CNNMRF
[2] http://s267.photobucket.com/user/wiro_bucket/media/last%20su...
With music, it's much more complicated due not only to the time domain, but also to the emotional content, the interrelationships of rhythm, tempo, chordal progressions, expression, timber, transitions from the simple to the complex, the way the music is layered, and how all these things are perceived by the listener. Like human faces, music elicits an emotional response that runs deep, and whereas the emotional content of a picture is relatively static, music's emotional content is dynamic and evolving. Music has its own "uncanny valley" between the machine and the human.
Think of a MIDI track that is generated by precisely laying out notes and velocities on a piano roll, vs. a track that is recorded live and captures the dynamics of the player. The difference is immediately obvious, and that with a track that is composed by a human.