For audio, the only signal that benefits from going thru the AVR is bluray.
For cable, I have and would run video directly to TV, and optical/coax to receiver. You can try em both ways, but there's nothing to gain by running thru AVR except two things: possible convenience, and if the AVR has video processing that is of high quality (it has to be of high quality to be better than a decent display). And that you even care to use it to begin with.
By not going thru AVR, you can calibrate video per source input. You will also not suffer HDCP issues, or lack of HDCP repeaters in certain old STBs. I guess you won't know till you try.
Oh shoot, you have a Pioneer Elite. Just run video direct to TV I say, except for bluray.