That's a strange point of view!
I think the opposite and maybe that's why I thought of Cohen: the music of his last albums is as boring as hell... Or almost unlistenable (for me)... But his voice is so amazing that it doesn't matter, the result is fantastic anyway.
Exactly the same thing happens to me with the song of this thread: the music is painful, almost grotesque, but Morrissey does the miracle of making the song shine, even if the music is terrible.
Funny that you mentioned Nick Cave, I almost wrote his name too, but I didn't because I think he arrived to his peak during the times of Henry's Dream and then he simply didn't decline.
Anyway.... California Son will probably remind me a lot of Leonard Cohen: music that I can't like and a voice that is a true miracle, making the final result become fantastic.