The point has been made, and my skill in modern anthropology is not strong enough to argue the truth or falsehood, that TOR had it first, and D&D got it from AiME which got it from TOR, and TOR is just cycling back around to learn from its children and firm it up as a more core mechanic. Let the bickering commence.The new Inspiration rules feel more than slightly ripped from the pages of D&D.
Mike Mearls has said multiple times that The One Ring had a huge influence on him when he was working on D&D 5th edition.
So yeah, I think that it's safe to say that TOR and D&D have influenced one another; after all, that's how design evolves.