Sep 2, 2014
We did some further physical testing with the Cinemate system and it turns out that having OPTICAL INPUT, COAXIAL INPUT, or ANALOG INPUT set to anything other than the default "Auto/TV" option will remove the ability to use HDMI on the selected input.
Please check on the "SET ANALOG INPUT" option in the menu as well, since it was not mentioned in our first response. Note that the change to "Auto/TV" will not take effect until you use the EXIT button to leave the menu.
Let us know if this has any impact on the problem.
Jun 11, 2016
If the trouble is only with the AUX input on the console (i.e. connecting your xbox360 to the CBL SAT or other HDMI ports works normally) then we may have another input overriding the AUX Source.
As mentioned in the previous troubleshooting on this thread make sure that options for OPTICAL INPUT, COAXIAL INPUT, or ANALOG INPUT are all set to "TV/Auto" on the Bose settings menu. If any of these are set to AUX they will disable the use of the HDMI AUX in.
Also, try connecting the ST 130's HDMI output to a different input on the TV. Sometimes this will mitigate an HDCP error that could be blocking video and/or sound.