NO! The cable (CATV) input goes to the antenna amplifier supply board only and in order for the CATV to work you need to turn off the power to the antenna amp.
To receive satellite service you require a separate cable input from the exterior of your trailer because the satellite receiver provides power to the LNB head on the satellite dish. You will not be able to feed your satellite service to both your living and sleeping area because they are not interconnected.
Here is a line drawing of how I set up our CF30SK.