Paul,
My Dremel Moto-Tool is also like that. Ditto a double-insulated electric drill I have. Both also have the flimsy folded-sheet metal blades so they will someday be replaced by sturdier (non-polarized) caps.
It is easier to find non-polarized replacement plugs in hardware stores anyway.
The cordsets are available in un-polarized versions, but I guess the manufacturers just want to play it easy and safe.
What is the difference between the cheapie plugs and the MK brand? I've used the MK brand British plugs and like the fact that they have American style wrap-around terminals.
Other brands don't. They have those grub-screw type things instead. Is this the reason? I've used the second kind also and you have to double and bunch up the wire so the screw can bite into it securely.