On page 25 of the 970 manual it says:
"If you are using a DVI connection from your DVD player, the Model 970 will default to DVI 1 when it detects a signal at that input. Note that the DVI 1 input is available only when you select DVD. It is “hard-wired” to that input, but is available only when a signal activates it.

The DVI 2 input is “hard-wired” to the Video 2 input. If you have a second DVI (HDMI) source, you should make the configuration adjustments for the device connected to DVI 2 in the Video 2 input."

The limited discussion of the component input does not indicate whether those inputs are assignable or not.

Since two of the component inputs are also labeled DVD and Video 2, non-assignable inputs would make Component switching and DVI switching mutually exclusive.

Tell me it is not so.