Is the amp outlet separately switched via trigger cable? Or is it simply on a delay?
So why not leave the Monster on all the time? What does that extra step gain you?

Also, there are other devices in your system that may have a real need to stay in standby rather than having power cut. Cable and satellite receivers often update program guides and firmware while in standby mode, for example, and DVR's need to be in standby so they can record shows when you aren't around. If you are switching them off, you are going to create some headaches for yourself as well as routinely delaying start-up time.