Somewhere in the vast electron highways and byways of you truck's electrical system there's a capacitor charging up. Once charged they're happy and don't draw anymore current. I can't imagine how that would pull your battery down to nothing.
Either the batteries are bad, or one is bad and killing the other one, or something is drawing current steadily. Your test light would indicate that you don't have a steady current draw. OTOH - A test light is great for finding short's, a VOM is THE basic electrical troubleshooting tool.
Go get either a VOM (Volt, Ohm Meter) - either digital or analog - and start ferretting out your current draw.
They don't cost much, are available at any Home Depot type store, and are an invaluable troublshooting tool.
A digital meter is easier to read, but an analog version's display responds much faster giving you a better picture of what's really going on. I way prefer analog meters, but they have 2 basic problems... You have to know what your looking at and for. Putting it on the wrong scale can blow the meter movement (mechanically, usually) AND most times dropping it will ruin it. Most digitals are pretty much bullitproof. If you don't care what it looks like, you can just throw a digital meter in your tool box. A good feature