I think this is a valid question, and it's just going to be that it is the origin-point for a lot of tropes/ideas for Sword and Sorcery, and maybe has a vibe that some other S&S doesn't have.
You'd probably be better off with say, Leiber in most cases though you'll be dealing with other problematic elements and depictions there also. Or you could go to adaptions of Conan which manage to evade the problematic elements, like the Mike Mignola comic books, which totally nail the vibe and ideas.
Whereas with Lovecraft you can make a more genuine case that his wild take on existential horror has many imitators, but most of them aren't really as powerful as his stuff was. Also I note a number of PoC writers have said they do find his work inspiring and the racism a bit easier to get past than some other writers (which I think does connect to the sheer insanity of it, and the fact that it's directed at all non-WASPs, as it predates modern notions of whiteness), and quite a number of writers have fairly successfully "reclaimed" it, as it were (indeed I'd say some of those efforts "get" the Mythos better than some older ones which kind of lapse into pulp-hero-adjacent stuff).