With SN the rate of intake is also important, it needs to basically flood your system at once. I've not used a nebulizer before but I suppose it wouldn't instantly vaporize entire solution? Or you wouldn't inhale all the vapour at once?
Besides, I believe the salt would be mildly corrosive, probably enough to cause lung/breathing tube discomfort -- remember that people w ulcers are unable to drink SN without severe pain. Interesting idea though.