I'd say pretty much zero chance of blowing a fuse in the car because you're not drawing power through the car's electrical system.
I was more talking about the stupid cigarette plug. I have a seed spreader and a sprayer for my ATV that use the 12v socket*, and they are always blowing their fuses. I wish I could find a really high quality 12v plug, but all the ones on Amazon seem to be the same cheap ones made by the same Chinese place, all with different names.
*They came bare wired, so I could put battery clamps on them, but getting to the ATV battery is a pain, so I just put the 12v plugs on them.