nomoneybutgoodsound, I have the much cheaper harmony 659 and you can specify via the software that you want to leave specific units on, or whether you want to automatically start playing the DVD player on power-up, etc.
I am able to use the "Listen to Music" button followed by the "Watch TV" button when I want to listen to music while the TV is playing (i.e. sports events).
I wouldn't be surprised if you could do the same.