Since it was easy for me to check this with my setup, I disconnected The HDMI cables from the TV and ran component cables directly from the TV to the HD-XA2 , leaving the HDMI from the receiver to the XA2 intact.
Picture and HD sound both work fine.
I also reconnected the HDMI to the TV along with the component cables and was able to get a picture off both inputs from the TV, It appears the XA2 keeps several of the outputs live.

A computer once beat me at chess, but it was no match for me at kick boxing.