is used with an accusation, a bill (law), an academic article, a statement of opinion, etc. Its use is limited to withdrawing things related to someone's claim or opinion. is simply "to cancel", and it can be used with a wider variety of things. You can use with an order, a reservation, etc. and are interchangeable but the former sounds slightly more formal or legal.
> what the role or the "semantic contribution" of is
We can say ("to bring **up** (a topic)"), so I think can be understood as the opposite of it, i.e., asking others to forget.