I don't think Dewey said use a 3 prong cord, he said he uses a 3 to 2 prong adapter to reverse polarity. Some older adapters can take a polarized blade in either slot, while most home outlets can't.
In the day of the ZW there was no grounded receptacle.
The parts guys sell the non polarized plug and as John said filing or clipping off the polarized plug is pretty easy. What I inspect for use is the style of the plug. Some have very cheap blades, others use a solid and strong blade and plug.
Also remember most parts dealers have two styles of cord. One is the cheaper version the other is a better quality.
The ZW is not electrically connected to the core, if it was then it absolutly would matter where the hot was connected. There can be stray voltage induced on the frame though. G