I don't have a direct answer for you. But if you look at this post:
You will see a discussion on how to energize the +12 DC on the 7 pin
plug for GM HD trucks.
Also, how does your TV do at towing your X23J, and what WD hitch and
weight size bars are you using?
You may remember I am looking at the same TV
(2500 HD gas ) for our X23J.