The problem is the "booster". For regular television (off the air), it needs to be "ON" to feed 12v to the amplifier in the antenna head. For cable it needs to be "OFF" (turns the 12v circuit in it off). The problem with turning the 12v circuit off is that there is internal circuitry that keeps current from back flowing to the "cable plug" (probably either switching transisters or even simple diodes) which would be bad for the campground's cable system if you were to plug into the campground's cable system before turning the amplifier off. That same circuit protection that prevents 12v from flowing out the cable inlet also keeps the satellite feed current from flowing out to the satellite dish...the satellite dish needs that current for the amplifiers in its feedhorns and for changing feedhorns to see the multiple satellites that are in use (sometimes 2, sometimes 3, depending on whether Dish or DirecTV. That's why you can't just plug your satellite antenna's feed into the cable connector and get a signal to the receiver.
On "upscale satellite ready" trailers, there is a "jumper" panel that will allow the satellite receiver and dish to communicate utilizing the cable inlet... There are schematics on the web for how to do it in a trailer that doesn't have it built in...you can search for one, or, as others have suggested, just run a "satellite only" cable from your receiver to the dish outside. If you are never going to use the rooftop antenna for off the air television, you can probably pull the wall plate and take the cable end off, remove (unplug) the other connections and then just buy a regular cable wall plate and connect the cable end to it. Save the amplifier wall plate for future re-installation for another user...they might want to simply replace the lousy Jensen with a better antenna like the Jack-Off-The-Air antenna. Personally, I have a trailer with the satellite ready system in it, but, I don't currently, nor do I ever plan on taking my home satellite system "on the road". With most campgrounds now having cable and my Jack Off The Air antenna for over the air signal reception, I don't need the other (satellite) feed and I can get local channels (ABC, CBS, NBC, Fox and PBS) which prove to be problematic with satellite once you are a couple hundred miles from your "home" base.
That's the "why" of the problem