Some Visio TV along with some newer Sony TVs can accept DD from HDMI and pass it out to optical out. Majority of the TVs out there will only accept PCM 2.0 from HDMI.
It can send both DD 5.1 and DTS 5.1 through coax to receiver if you configured correctly (Digital output to Auto and turn off secondary audio). It just can't send DTS 5.1 to a TV via HDMI (I think I read there is only one TV out there that can accept DTS) or DD 5.1 to TV via HDMI (only select few TVs can accept DD 5.1 via HDMI. See above).