It would expect it depends on what sort of salt is being added.
While it would depend on what salt is added, the conductance of the water will be a much stronger function of the concentration of salt. That is, the difference between 1 mole/L of NaCl and 1 mole/L of KCl will be much, much less than the difference between 1 mole/L of NaCl and 2 mole/L of NaCl.
Part of the issue with old plastics is that they change properties dramatically. I am just going to guess here, so I really don't know, but as ions from the water gets trapped in the plastic, the previously resistant plastic may become more conductant. Kind of like a metal, where the atoms line up and can pass electrons, the ions trapped in plastic matrix may be performing the same function. I do know that some plastics age poorly -- look at all the brittle bakelite fixtures that are out there now, when they were new they were strong and ductile and sturdy, but now it seems like you almost only have to tap them to shatter it. As another example, PVC left outside for a few years becomes very brittle also, even though it is pretty dent-resistant when new.
The magnetic/electric (you can't have one without the other if electrons are moving, and electrons are moving if the unti is on) field would drop off as distance squared away from the source. That is, if the field is
x strong 1 cm away, it would be
x/4 2 cm away and drops off rapidly like that.
I think that the biggest thing that these units have been made pretty safely, I doubt that a company could make too many unsafe units and not be sued into bankruptcy. But, if you ever feel a tingle around them, I know that I would be pitching that unit ASAP... after unplugging obviously!