Intriguing question.....
I would have to assume that silver/daedric/enchanted weapons would not do additional damage to a character with a weakness to normal weapons.
The game treats weaknesses and resistances the same way. In all the appropriate equations, there's only a single value, which can be either negative or positive, meaning either a weakness or resistance. So, in effect, a weakness is just a negative resistance.
Silver, daedric and enchanted weapons "ignore weapon resistance." That means that, in equations in which it would apply, any value for weapon resistance is simply ignored. That would seem to apply to a negative value just as it would a positive one, so it would not only ignore a resistance to normal weapons, but would ignore a weakness (negative resistance) to them as well.
I don't
know what it would really do, but that all makes sense to me.