Your bedroom TV will be able to get either broadcast TV or Cable TV depending on whether the Antenna booster switch is ON or OFF.
I did the "wiring mods" to allow me to use both the Sat and Cable inputs for a 2-coax Satellite Receiver and added a RF Modulator to feed the Sat Rec output to the bedroom and outside outlets.
This mod (much discussed here) allows Satellite, Cable, or Broadcast TV on any of the 3 outlets (Ent Centre, Bedroom, Outside). With my Sat Rec it's the same program on all outlets, but some services offer multiple outputs.
Lacrosse 301RLS Touring Edition
GMC Sierra SLT 2500 4X4
BMW F650GS Dakar
Suzuki DR350SE & Suzuki DR650SE
Specialized FSR XC Comp