Typically the component input bandwidth is listed - which is a lot more than you will be feeding with HD contnent (1080i/720p).
There should be no visible (or possibly measurable) video quality loss by using your A/V receiver to do the video switching for you. The goal of the A/V receiver is to just switch video, but not to degrade, amplify, or do anything else to the video signal at all. Yamaha is pretty good about this, so you should not have an issue with running all your video through the A/V receiver. That V is there for a reason you know.
Yes - do it - will be no problem at all.