This question came up because I just recently picked up an OTA HDD Recorder. My older Sony XBR1 only has a single HDMI input.
If I want to utilize any of the on screen programming for my HT, I need it hooked up to the TV. So right now, I have the OPPO going to HT and then HT to TV. I had to buy an HDMI cable for the DVR and just picked up an AudioQuest one from Best Buy.
So I have the ones that came with my OPPOs and another generic and now the Audioquest. If I want to keep my current setup, I can swap the HDMI between the OPPO and HT and use the AQ.
In order to use both HDMI Outs from the OPPO, I would need to configure old style audio video connections back to the TV from HT for any on screen needs from the Integra.
I will have to try different setups to see what gives me the best performance and ease of use.