Items duplicate spell effects, or cumulative?

[HJ]

I don't think that e.g. virtue's flambeau gives her the ability to cast holy pyre, though I might be wrong. I think that the properties of the weapon are the same (Amaimon's whip behaves like a real demon whip; Gaap's hellsword enables him to go berserk, etc.), but AFAIK they don't gain the spells with them.