Putin never said he sought to annihilate Nazism in general, at least not that I know of. He said that among his goals is to denazify Ukraine, which I believe is true simply because the Ukrainian Nazis are his most hardliners opponents there. He does also crack down on Russian fascists when they become inconvenient to him (like darling of the west Navalny), but I don't think he ever claimed to be an antifascist.