Right, HDMI is for sending everything (Video and Audio) to the TV (or A/V amplifier/Preprocessor if you are "hi-tech"). The point is to make it simpler, and to allow for copy protection also.
"Simpler" means that many consumers have these large TV sets that purport to be Home Theaters

That is, all the audio and video is provided by the TV with no other HT equipment. They even have "subwoofers" built into the TV cabinet, and the speakers are on the left and right of the screen. I guess this is "convergence"

My TV has only a jack for DVI video (not HDMI), which is identical to the video signals of the HDMI. It is not a "superior" system these days, it is a "less advanced" system, older technology. But it worked out for me since I use digital optical out from my DBD player/XBox/DVD-R to my Outlaw preprocessor.
My DVD player (Oppo) uses the DVI jack and the other video sources use the 2 component video sets.