The problem is what happens when only one plug is plugged in? This is the "normal" state of affairs that occurs every time you use the unit. With one plug plugged in and the other one just sitting there, you might feel current if you grab hold of the second plug, because you if you touch the hot and the neutral or ground on the exposed plug, you are completing the circuit of the relay coil through your fingers. I don't think this is safe.
BTW, presumably you are going to box this up? Your description sounded like it was all open...
BTW, presumably you are going to box this up? Your description sounded like it was all open...