Not without verifying that THAT flag stone is salt compatible.
There's a blog by a Texas pool service guy that absolutely 'hates' on salt systems because of problems with salt water damaging natural stone. Types of stone and porosity vary by locale, and it appears that some types of stone are much more susceptible to damage than others.
However, the problem seems to occur when salt water splash out lands on stone, and dries. Submerged stone seems to *not* suffer this sort of damage. Likewise, areas of the country with plentiful summer rain, like here, also seem to have less of a problem. Presumably, the rain keeps the salt washed out of the stone.
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