What makes a 6v wiring system??

higher current load, means bigger wire gauge. current (amps) is voltage divided by resistance (ohms). 12 volts divided by 2 ohms = 6 amps, 6 volts divided by 2 ohms = 3 amps. So lower voltage is smaller current, = smaller wire.
True As Long as the question is about different voltages applied to the same device.
An interesting example to look at is a 6012 Headlamp, nominally rated at 40 Watts low beam.
The rating is at 12.8 Volts. The current it will draw at that voltage is 3.13 Amps.
In actual operation, system voltage is closer to 14 Volts, so the lamp will draw more current (and burn brighter).

Now the reason the 6012 lamp is a useful example is that that there was a dimensionally similar 6 Volt lamp called the 6006.
So if we can find a spec sheet for one of them we can make a comparison.
My guess is the 6006 will be designed to produce similar amount of light as the 6012, so have a filiment that draws more current.

---now continued----
6006 lamp has the same nominal power draw on low, 40 Watts.
ref: Don's bulbs at Wayback Machine
We can do the math.
Power = Current x Voltage. Also written as P = I x V.
40 Watts = I x 6.2 Volts
6.45 amps = I

It happens we can check our answer against another, more complete spec sheet.
https://taillightking.com/images/LightBulbs/LightBulbSpecs/6006 AC DELCO sealed beam light bulb lamp.pdf
So @Tooljunkie's observations are borne out by the power requirements.
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