Just wondering… What is the exact make/model of Brake Controller you installed within your 2009 Jeep Wrangler?
Unknown to some folks, not all Brake Controllers behave the same. Motion sensor (aka: Proportional) Brake Controllers like Prodigy P2 or P3 brand are the best (in full electric class). Their technology senses how fast the Tow Vehicle is going and applies the correct amount of current flow (to the trailer's brakes). Timed Controller don't care how fast the Tow Vehicle is going. It applies current in 3 different levels (re: 3 different phases) - even if the vehicle is going turtle speed in a slow traffic jam. IMO, Timed Brake Controllers should be pulled from all store shelves and trashed. And, ripped out of all existing Tow Vehicles and trashed as well. Yes, this "timed" technology is that dangerous. One should only use the Motion sensor (aka: Proportional) Technology Brake Controllers.
With above in mind, what is the exact make/model of your TV's Brake Controller?