I don't think the military uses the 24v so that they can use smaller wires in Deuces and tanks and tractors. On land & water vehicles you want to keep a larger wire for durability, vibration resistance, and corrosion survivability. Also the land vehicle design engineers will pick 12-14 gauge wire out of habit, and the mechanics are used to working with those size wires. I'd bet that the starter, ground, and charging wires on a M1009 are the same diameter as the civi version, even though they could (theoretically) be several sizes smaller.
The military doesn't care if a Deuce is 4 pounds heavier, but in a Cessna Bird Dog (L-19 /O-1 Observation aircraft) that 4 pounds is almost another gallon of fuel you could carry. They would use smaller wire in aircraft for weight savings, and those mechanics are used to the smaller wire size.
12v is a fine standard, so is 24v, and the client base is totally different for each. I'd say neither is inherently better, and both are really driven by their market's inertia. Come to think of it, I guess I'm saying that's true for the wire size issue, too.