"Does that mean we can purify the murky crystal?"
"Nothing quite as fortunate, I'm afraid," said Chief Dakkon, shaking his head with a hint of regret. "Upon bringing the murky and god crystals into proximity, a reaction ensued, though not the one we hoped for. The murky crystal began to clear slightly, yet to our alarm, parts of the god crystal began to cloud over. We separated them at once to prevent the god crystal from being spoiled."
In simpler terms, it was akin to blending hot and cold water together—mixing them results in two portions of tepid liquid.
If the Flagrant Swordmaidens sought to produce only hot water, obtaining a larger quantity of cooler water would be counterproductive.
Their aim wasn't to allow the water to cool; they sought to heat all of the water consistently.