I see that the 10 amp terminal on the etek 10709 is UN fused so we can rule out a blown fuse.
Which lighs are you trying to test. (Single or multi emitter, type of emitter, what driver)
Only thing left I can think of is that the flashlight draws too much current for the multimeter to give you a reading.
If it is a high current flashlight, then maybe test the meter by measuring the draw on something you know has a current draw of less than 10 amps. Something in the 1 to 5 amp range would be perfect.