You are putting a lot of emphasis on Component cabling via the receiver...
You have not specified what cable box you are using but all the new ones, and those incorporating a DVR, have a DVI or HDMI digital to digital output. As such, when Broadcasters start flagging their broadcasts, if your cable box is equipped with DVI or HDMI, the QAM demod may encrypt the data if it gets a directive to use an HDCP compliant connection and it's not there.
On the other hand, if your TV does not have a DVI or HDMI input, it would be prudent to keep an old cable box not equipped with DVI as the FCC states this old equipment will remain able to receive HD data from broadcasters.
If your cable box has DVI as well as your TV, connect Video from the cable box to the TV via DVI. For other equipment such as DVD, you can use Component switching either via receiver or switch box.