I have 2014 3950S with TV outside that doesn't stay on. After several attempts it will usually stay on. I found the fused +12 volt red wire going to the TV to be quite hot as if it is under sized. I checked the connections at the fuse holder and they are fine (suspected high resistance connection).
Considering just running a replacement pair of wires.
Make sure you are getting 12v. If the voltage is low (low batteries) it will drop out as well.
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Found problem, flimsy old glass type fuse holder like I would have found in my Radio Shack home Science kit. Had to bend metal tabs to force good contact when cheap plastic housing is screwed together. Here is a pic with the fuse holder at bottom.