Huh? An electrical circuit only draws amperage while it's completed... If you turn the light off and you still have a 5.6 amp draw, you have something else wrong with the circuit causing the amp draw.
The blaster lighting circuit has basically two parts; the coil itself and the voltage regulator. Because the stator puts out voltage relative to the engine speed (0 volts at 0 rpm up to 35 volts at 8,000 rpm) there is a voltage regulator to keep 35 volts from the headlight which would blow the element in an instant.
The voltage regulator acts as a dead short, resistor, and heatsink all in one. Basically it shorts off all voltage over ~13 VAC limiting the rest of the lighting circuit to that voltage. If you are trying to check the lighting coil before the voltage regulator it will show amperage draw. That's the voltage regulator doing its job.
If you are trying to trouble shoot your lighting circuit, you need to consult the factory service manual. There is a walk through about checking each component to make sure everything is ok.
If you are still having a lighting problem, you probably have a short in the wiring harness and will have to replace that.