If KH and/or Ca are high, precipitation can occur, but this typically happens when dosing to very high levels. New saltwater should not have high enough levels to cause precipitation. Plus, precipitation would reduce both KH and Ca, which is not what you are seeing.
If your new saltwater tests at 320ppm Ca as you said earlier, you need to figure out how your tank got to 500+. Unless there is a testing error, that Ca had to come from somewhere. Kalk, tap water, something else?