"Nope - there's no way for it to know or care that there's a DVI connector anywhere in the signal path, because it's nothing more than a pair of adapters that match up the different pin configurations. Seriously - going from HDMI to DVI for video is a passive and transparent process. The only thing that happens inside a DVI-to-HDMI adapter or cable is that the wires go to different shaped plugs. The same number of video wires pass through as would exist with DVI-to-DVI (single link) or HDMI-to-HDMI"
One nitpick with that. You do sacrifice a bit of your leeway on cable length by adding a conversion to DVI into the mix. The architecture of HDMI cabling as well as the shielding and difference in the transmit and receive chipsets make long cable runs (and to be clear, I am talking about 30' plus) a little more problematic than with an HDMI end to end run.
If you are looking a 6-10 foot runs between components and a TV, this is a non-issue.