Is the TV an A/C only unit?
Maybe that have wired it this way so you can use it in any situation?
It is bizarre though.
All I can think of is that the TV is A/C only so it gets it's A/C through the inverter reguardless of the trailers power situation.
If you figure it out, please post your findings.
I got a big curious now.
2009 Flagstaff 8528 RKSS
2007 Toyota Tundra DC 5.7L V8
Pullrite Superglide 14K
Air Lift 5000
Prodigy Brake Controller
"I've got a mind like a steele.. a......a steele......um.....uh...... what's that thing called again?