Sure. Double-insulation and all. But if the cords are not manufactured the same way, that's just insanity. Maybe I have cords from different countries with different standards?
It bothers me because. If I wanted polarity to be random, I'd make the plug so it can be flipped. The earth pin could be directly in the middle, or what not. Then the plug could go in either way, like a figure 8 plug/socket. If it can go in just one way, it should be wired the same way every time, for sake of order, if nothing more.