Trivial question: does healing from Sierra Madre Martinis count toward the Desert Survivalist achievement? I would think it should (and not toward Stim-ply Amazing, though the Wiki says that Healing Powder and Bitter Drinks do).
Open your pip-boy, go to the desert-survivalist challenge and check how much you've healed. Remember the number, then drink the martini and check again. You've got your answer.