Well, I can tell you my personal experience with mollies and marine ich.
I bought six mollies months ago to verify my velvet treatment worked, which it did. Fast forward a bit, they're living happily in my display. I buy a Hippo Tang, and during my TTM quarantine I accidentally cross contaminated my display tank. Which I did not discover until the Hippo in my display broke out with ich. Months later, I am managing ich, though the Hippo still shows the occasional spot now and again. The mollies have never presented with a single spot of ich the entire time, even being stressed out and bullied by eachother and the other fish. These mollies were from a store that sold only freshwater and had never been exposed to marine ich before.
So no, mollies aren't a 100% guarantee to show ich is not present in a tank.