You deny ANY kind of influence of the literary genres on the game??
No, I deny that D&D rules are (as distinct from the games people play with those rules) belong to any particular genre, unless "Gygax, Arneson, et. al. thought this was cool" counts as a genre. OD&D was influenced by an insane hodgepodge of historical, speculative, and classical literature. It's not HF, it's not SF, it's not S&S, or any other genre of it's source material. It's all of them and none of them. It's D&D, a genre unto itself.
Arguably, D&D has influenced modern S&S and HF far more the the reverse. The Deed of Paksinarrion came about because Elizbeth Moon was annoyed at how people played Paladins. The Record of the Lodoss War series is a novelization of Ryo Mizuno's D&D campaign. There are other examples, but that's off the top of my head.
We should take into account that many HF authors are Tolkien imitators. They may have "watered down" the Catholic influence on their novels, but the most basic premises are still there, maybe weakened, but still there.
Mercades Lackey and others would disagree. Well, when they aren't hanging a hat on it in the Heirs of Alexandria series.
What about the novels of Jack Vance?? He's protagonists are spell casters.
Also, keep in mind that Conan himself (in "Beyond the Black River") uses a bit of sorcery.
The Gray Mouser was a mage apprentice at the beggining of the series too. And uses some magic in the course of his adventures.
Most of Vance's work is Science Fiction. Dying Earth is Science Fantasy not Sword and Sorcery, and Lyoness is High Fantasy (although it might be Science Fantasy since there's some implication that it takes place in the same universe as the Dying Earth books).
It has been a very long time since I read Conan and they tend to blend together, but Conan doesn't use sorcery, he uses an Elder Sign analog to delay the forces of his enemy.
I never read the Lahnkmar stories, but WayneLigon was slightly off. It's not that magic is the purvue of the villians, it's that it's something unatural. It has a cost and most of it is not particualrly useful when an angry swordsman charges you. Mouser, to my understanding, looks and acts nothing like a D&D wizard.