That was my thought as well. A breaker rated at 10A at 12V (or 120VA power draw), would pop at twice the amps with a 6 V system, not providing the protection needed. Or maybe pop earlier, I'm confusing myself now. Been too long since I took an electrical engineering course in school.
@LeeP, I don't think that's correct. Fuses are rated for a certain voltage (not just amps) and blow when the power (volts x amps) thru them exceeds the rating.
Simple solution - Get the right switch.