I've played through the game single- player and multiplayer and noticed that, in multiplayer, the special boss battle music does not reliably trigger in many of the encounters.
This is not specific to patch 6 and has happened in multiple play throughs with different people (although all honor mode, if it matters) and on PC.
Sometimes the music stops entirely but it's not predictable.
- Emerald Grove first combat, outside of the gate
- fight with Marcus and Isobel at Last Light
- Fight outside the portal with Halsin
- Fight with Raphael (i specifically remember this one, since i kept hearing the music for this was awesome -- both myself and another player just got the regular music instead)
I'm sure there are others but these come to mind. I didn't have any problems in single player.
I also noticed watching Jen&Aliona's twitch stream they did not get the special battle music in the first battle outside of the Emerald Grove, so it appears to be cross platform.
The music in this game is awesome and it's a huge bummer to miss out on it!