HDMI Splitters have all kinds of odd behaviors in terms of the edid handling. Some have fixed edid, some pass through from one of the attached devices, some prefer a particular port, some "merge" properties from all connected devices. Really nice ones have configuration settings (switches) to let you control the edid.
I used this app on my PC to research/test splitter behavior:
EnTech Taiwan | Utilities | Monitor Asset Manager
I've tried three different splitters and there was no consistency between any of them, and am still shopping for a better solution.
Does anyone know what formats of surround sound are supported by DirecTV, particularly with the new 4k support? Is it always Dolby (never DTS?) The C61K is labeled Dolby Digital Plus, which is a 7.1 format. I'm guessing most content is Dolby Digital 5.1 ?
And to complicate things, apparently optical/coax audio interfaces may not support 7.1 audio, and if you connect your HDMI directly to TV expecting the best audio to pass through, it may get downgraded (again, seems to be related to the edid information)