The TV shouldn't be doing any audio processing at all. The TV has two digital output modes, pcm and raw. I've done some looking, and what it appears is that over coax pcm is only stereo however raw should just be whatever was sent into the TV via hdmi without any audio processing on the TV.
Also from what I have heard not many AVRs allow you to use the video and select source when it's off, that would be an inconvenience for me. I don't always want to use my surround sound, like for most TV shows.
I have, at the moment, a Cable Box, my Xbox 360, my Raspberry Pi (media center) hooked up to the TV via hdmi. I also have a PS2, Gamecube, 2 Xboxs, and an N64 hooked up to a small video switch, using standard RCA cables. I plan in the future hooking up more things via hdmi and when I do using a passive hdmi switch that will switch based on what is in use at the time.
I tested my parents TV this morning (I have an identical model), which is hooked up to a Sony AVR (I'll update with model # if need be), and using a Blu Ray player and a Blu Ray that has 5.1 audio. With the Blu Ray player set to output 7.1 PCM my TV only passed Stereo PCM to the AVR at 48000khz, the same thing happened when I switched off 92000khz downsampling (I figure it wasn't really a factor). I could tell because the AVR had Pro Logic lit up, and I know that Pro Logic is for enhancing stereo to sound better on a 5.1 system. However, when I changed the audio out setting on the Blu Ray player to Bitstream HD, the TV still had sound and it passed 5.1 to the AVR. I could tell because the AVR switched to having Dolby Digital lit up and the rear speakers changed from just having them marked as Surround to a full 5.1 system. I checked on the Blu Ray every time what audio stream it was set to, through most of the testing it was set to 01/03 Dolby Digital. When I set it to 02/03 DTS HD, it didn't output properly and the AVR put that it was receiving PCM again.
EDIT:
The numbers on the tracks of audio I believe are just basically the stream number, 1 of 3 etc.