Oh, I see. Well, like I said up above, I'm not convinced that we have the specs correct for these parts; but none the less I suspect that wires of that size will work fine.
In general, when we talk about sizing cables to carry a certain amount of current, what we are really talking about is managing resistance. The resistance of a wire is inversely proportional to its thickness. There are definitely other effects that become important when engineering a product, but for carrying power resistance is the dominant factor. If a design uses come current (I) and the cable has an inherent resistance (R), then it will cause a voltage drop V = I*R. That voltage drop will dissipate power in the form of heat and could become dangerous if it overheats. To reduce that effect, you either carry less current or use a bigger wire which reduces R.
The thing is that we are talking about pretty small current values. You would need one heck of a flimsy wire to cause yourself problems leading to failure. I would think your main concern would be to make sure you properly insulate everything to be able to carry 12V.
