The salinity of the Dead Sea apparently changes the buoyant properties of people and such, but I bet it doesn't change the buoyant properties of a helmet full of water even a little bit.
Oh yes it does
The Eureka incident was the realisation that anything will float so long as its volume can displace an amount of water equal to the mass of the object. With regular fresh water, one cubic metre (or meter, for you Americans) weighs one metric tonne. therefore if an object is one cubic metre in size and weighs less than a tonne, it will float.
I don't remember the exact amount that seawater is denser than fresh water (it changes anyway by season and location) but let's say it's 5% denser than fresh water. Therefore, one cubic metre of water now weighs 1.05 tonnes.
The Dead Sea has denser water still. This is due to intense evaporation, which leaves the minerals behind in solution. If the dead sea is 20% more dense than fresh water, that cubic metre weighs 1.2 tonnes. Because a person's volume doesn't change significantly, he needs to displace less water in the Dead sea than in fresh, and therefore floats higher out of the water than normal.
Exaclty the same principle happens for the helmet. In salt water its volume displaces a greater mass of water so it sinks less quickly. In a super-salty water environment it might even float (yes, unlikely, since you don't get much that is denser than steel or iron, but technically, it's possible if you're trying to float in molten uranium or something (which I'm sure, carries a health warning).
Sorry for the science class, I have a pathological need to educate about sciencey things. It's a curse, really.