Thank You Helson,

Your setup suggestion seemed very logical. Alas, it did not work for the TV ARC of the LG TV (HDMI2) and the TV ARC of the 975 (TV ARC - regular output for HDMI.) I tried not even using the HDS-42AVR, just using the 975 HDMI ARC and my TV's HDMI ARC. I also tried, within the 975 Input setup, for TV, the following:

(here's the one I think it needs to be)
Video: -----
Audio: HDMI ARC

(here's the recommendation of the HDS manual)
Video: HDMI1
Audio: HDMI1

(I even tried this)
Video: HDMI1
Audio: HDMI ARC

None of these gave me audio from my TV. I checked that there was audio going by setting my TV's audio out to its internal speaker, rather than HDMI ARC.

Any ideas how I can verify that either HDMI ARC connections are working? As well, can I find out if I need a firmware update on my 975, or is that something to talk to Outlaw Support about?

Oh, note: My 4k DVD is actually an LG, not a Sony, but it works now. Especially since I hooked it up to the HDMI2 input of the HDS. It seems to switch correctly when I press the disc input of the Outlaw remote.

Thanks again.