Awesome, looking forward to seeing how the game comes along.
your motivation for the music stopping definitely makes sense. besides being generally motivating and pleasant, its an intuitive way to feel how far you've gotten through a level through hearing new sections you haven't heard, more intense instrumentation etc.
i think the reason i felt like it made more sense for your game in its current state to keep looping the music was because the difficulty curve seems to always start pretty high, like the early patterns are just as difficult as the later ones and you always have to worry about the falling platforms. so this had me dying a lot early on as i was grasping the controls and rhythm of platforms so constantly hearing the music restart again was discouraging.
so it really depends on the level structure / restarting frequency