contrapositive of golden rule: if you don't like to be treated in a specific way, don't treat your neighbours that way
these things are logically equivalent, it is true.
but, this is the nap:
don't treat your neighbours in a way that they don't like to be treated.
in context, the golden rule wouldn't prevent inside smoking by a heavy smoker, but the nap would. as such, the nap is a stronger protector of individual rights, even as it inflicts less strenuous requirements on individual behaviour.