Actually, there are Mollies that live their whole lives in Freshwater in nature, and never come close to enterting brackish or marine conditions. The "Freshwater/Brackish/Marine Molly" issues are big debates in the livebearing world. There are mollys that live in water (in Mexico, I believe) that live their entire lives in water extremely tainted with Sulphuric Acid, there are Sailfins that live in Brackish, some that live right off the coasts in pure salt, and many that never go into Brackish or Salt water, and live their full lives in Freshwater. Obviously, Mollys are extremely adaptable, and can survive in most situations you throw at them. Mollys have alot of problems (especially Fancy varietys), however a lack of salt is not one of them.
Their high mortality rate and why they seem to be always in bad health has mroe to do with their water quality. Although they are adaptable, acclimating them is a tough process, and has to be done slowly, or the fish will surely fall ill. They also need EXCELLENT water quality (again, especially Fancy varietys like Gold Dusts). When I kept Mollies, they would start to shimmy at Nirates as low as 11ppm, and would start to die off at around 25ppm. However, when acclimated over a 2 day period, they did not shimmy until Nirates as high as 55ppm. Truly the one reason the salt myth is established as well as it is is because, sadly, many fish farms use Salt in their molly breeding tanks. So they get tossed into pet shop freshwater right away, and aren't acclimated properly, thus become sickly, and are bought, and the cycle repeats itself again. The Molly swim bladder can easily adapt to all salinity levels, within reason, but it doesn't mean they require it.