If I understand you correctly, you're suggesting having the output of two different devices connected together to drive the same amp, with the expectation that only one would be powered on.
Depending on the circuitry of each device (which I am not familiar with), it's unlikely this would provide the results you are hoping for. Most likely, the unpowered device would at least provide a low-impedance load which would be difficult for the powered device to drive, and it could result in damage to one or the other device.
I think you are better off adding a passive switch at the input of your amps to switch between two inputs.
Depending on the circuitry of each device (which I am not familiar with), it's unlikely this would provide the results you are hoping for. Most likely, the unpowered device would at least provide a low-impedance load which would be difficult for the powered device to drive, and it could result in damage to one or the other device.
I think you are better off adding a passive switch at the input of your amps to switch between two inputs.