Can't Start Halo: CEA with Classic Graphics/Music

I’m having a weird issue trying to start the MCC version of Halo: CEA with the Classic graphics and music settings for the campaign. Even if I select the Classic settings from the Missions menu, when the game actually starts it will be with the Remastered graphics and music. Once inside the game, I can press the View button to change the graphics to Classic mode, but there’s no in-game option to switch the music. This happens on every mission.

Is anyone else having this issue?