I honestly have to admit that the no nuke peace sign always had equal meaning to me. In the states it was mothers who first marched in great numbers and used the peace sign to advocate no nukes.
Anti war groups used the no nuke symbol as the peace sign.
same coin, two sides.

But if all you can muster is the ambition to argue more taste over cries of less filling, well, this phoney bologny controversy over peace signs was made for you.