Just to clarify my statements about TV charge currents. The 11 amps is the maximum I have ever seen. It was measured with my Tri Metric battery monitoring system, and occurred when the batteries were low due to overnight camping and a fair amount of furnace and computer use. It was initial charge, within an hour of towing it dropped to about 4 or 5 amps. As batteries charge their acceptance of current at a given voltage drops off.
This was with a pair of 6 volt golf cart type, flooded cell batteries in series mounted in the battery box of my 2014 FC 20, which is at the front of the trailer. TV is a 2102 Jeep Grand Cherokee.
When the same TV is connected to my '74 Argosy, also with golf cart flooded cell batteries, but located near the wheel well, and connected with the original Argosy charge wiring, I have never seen over 6 amps charge current, tapering to about 3 to 4 amps.
The TV charge can be a little additional charge benefit with conventional flooded cell batteries. But it is not much considering actual towing hours. I have never had any other type batteries and can make no statements about them.
BTW, even with the towing I do, my Tri Metric meter seldom if ever shows a 100% charge after towing the average daily milage I do, which is generally in the 100 to 250 mile range. I generally seem to run in the 90 to 92% range maximum when out camping. Those last few amp hours are very difficult to replace with anything other than a 3 stage converter/charger running for 24 to 48 hours on it's last stage.
In general, I run my conventional flooded cell golf cart batteries in the 50 to 90% range of charge when out camping. Once in a while they drop to 40% but not often. My batteries have lasted in the 8 to 9 year range. That is hard to say actually, but my Argosy is on it's second set of golf cart type batteries, and I installed the first set about 2002 I believe. They we're replaced about 2010 or 2011 I think. My 2014 20' FC had it's original batteries replaced (not defective, just wanted to put GC types in) after one year, so in June of 2014. The delivery date was June 2013. So, I have not had them in very long yet.