I have seen contradictory information in both labelling and application.
So-called "thermal" circuit breakers should not care what the circuit voltage is, or if it is AC or DC. However, I have seen breakers (and even switches!) marked as "AC Only" which may have something to do with contact deterioration being less when you are switching AC because the average damage done to the contacts will be less than if you were switching 120V DC.
There are other circuit breaker designs which employ magnetics or sometimes active circuitry--these are usually found only in certain complex industrial or special application circuit breakers (such as GFCI). These, of course, must not be used for anything but their intended appliation.
I have seen a PCB-mount 4A, 120V circuit breaker used in a 14.4V battery circuit for a pro video camera. Since that works, I don't see why a 15A or 20A panel mount breaker wouldn't work. I do think, however, that there are other limiting factors involved, especially the wiring going to the cigarette lighter. I have seen wire as small as 16AWG used for a 20A cigarette lighter circuit!