Most assuredly. Same publisher, Trojan; same editor, Adolphe Barreaux; same characters and same bunch of artists (primarily). Much of the Wally Wood material that appears in Western Crime Busters first appeared in the pulps. For a real in-depth discussion of this, see Illustration Magazine #35 - the article on Joseph Szokoli.
But I don't think that Conde Nast was the publisher of Spicy Mysteries (or at least not of the Pulp from which the Sally stories were reprinted).
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