I've found that in most cases with DC electrical, a ground is a ground. I have a couple of items in my cocktail plugged into the power supply drive connectors with male pill connectors. although I did make sure to use the right positive lead (red is 5v, yellow 12v) I just used whichever ground was furthest away to make sure there was less chance of a short. Haven't had a problem yet.
as far as wire size/gauge goes...Amperage dictates wire size. This is why the wire on circular saw is larger (or at least should be) than the wire on a lamp. They both use the same 110v from the socket, but the saw will require a much higher amperage to opperate than the light.
There are calculators and tables on the net that will tell you the gauge of wire you should use for given amperage, just do a google search. In your case, 18 gauge wire is probably overkill for the LEDwiz, but having too large of a wire won't hurt whereas too small could be hazordous.
-Harry