The dock where you put the phone on its side is just a charging dock, like for a nightstand. The HDMI dock sits the phone upright and connects to the micro USB port. The HDMI dock has two ports on it, one for micro USB and one is a full (or mini) HDMI.
OK, I didn't look at The Verge videos. I was basing my info off of a screen shot for the "multimedia dock" which sits the phone sideways. In that context, I guess multimedia means "stand the phone up in landscape orientation to watch content on the device's screen" rather than "output to another display."
As far as the MHL adapters go, my undertanding is that the microUSB on the adapter is for charging. I believe it's a requirement, but I don't have any such adapter to test with.