Another thing that could be happening is that your alternator is pushing out current based on the needs of your starting battery, which gets replenished quickly. It's frustrating that today's trucks come with high-capacity alternators that basically do almost nothing because the sophisticated controls tell it the starting battery is fully charged. I've wondered if a way around this would be to wire the trailer connection directly to the starting battery with an isolator that opens when the truck is not running. Hmmm . . .