Listening to music from any of the Metroid games tends to help me pull through on Trench TDMs. It just makes the entire thing seem so epic. And when listening to futuristic or alienish music(like Metroid music) I seem to want to use ramps a lot more and my builds look really futuristic. Really helps when I'm working on my spaceship...
But yes, I think that music influences building. It inspires me to build differently, and that helps me to expand in my building skills. Music helps me focus, which is why it takes me forever to finish my schoolwork without my music going. Heck, I can't even focus if I don't have my headphones on. That's why I sometimes just wear my headphones without any music playing because headphones help me focus. Probably because I'm able to make myself think that music is playing.
It also seems that I can type faster when I'm listening to music, depending on the speed. The faster the base beat, the faster I'm able to react.
Music, it seems, can influence several things. Faster music might make things seem faster or you move with the beat, same with slow music. Slow music seems to make scenes more dramatic, so they do good for slow-mo scenes in movies and stuff.
Just my opinion...