No, I said that there are long stretches of history where hot-weather civilizations outcompeted cold-weather civilizations, and that implied (correctly) that algebra was not the product of adaptations to harsh winters, which is what the cold winter hypothesis argues (generally, about selection for intelligence).
That 1500 BC Babylon was neither a cold-weather clime nor an arid clime is evidence against the cold winter hypothesis.
(To your point about intelligence vs. progress, it's suggestive evidence, not dispositive evidence, but the amount of suggestive evidence over the course of human history makes the cold winter hypothesis pretty funny.)