I'm not sure what you're saying with "if the salt does not vaporize". . .
Oxygen present in water and salt causes corrosion. Salt is hygroscopic in nature and it attracts the water. Water is required for corrosion and salt speeds up the process.
Corrosion is the transfer of electrons from one substance to the other so salt present in water improves the capability of water to carry electron through redox reactions. Redox reactions are the oxidation and reduction reactions. In oxidation a particular substance loses electrons and in reduction a substance gains electrons which are released by the oxidation. When these both reactions took place it is known as redox (Reduction and Oxidation) reaction.
If there is humidity in the air the salt will "draw" the humidity into the salt. Silica absorbs the salt and doesn't break down like salt does.
I think putting salt in the boxes would draw additional moisture into the box -this is something you don't want.
Since you explained what you're storing, I'd just wipe the metal part of the tools down with some type of firearm long term oil and let it go at that.
Think about how cheap salt is then think how expensive Siicia is. If salt worked as well as silica then the major shippers would be using salt instead of silica.
Thanks, unfortunately I just dropped chemistry so I understand the chemical process at work overall, my concern is just whether any salt becomes "airborne" which would make corrosion worse instead of helping it

I don't imagine this being a problem, just wanted to gather other opinions.
As there is little airflow in the box, I am not concerned with it drawing moisture in... some will pass through the wood, obviously, but very little. Wiping with oil will attract a ton of dust, and these tools will be used at times and the boxes moved to be able to be used, so oiling them is not really an option. Plus tools that interact with sawdust and oil, no matter how light, do not mix well
Silica is great but realize it's used for shipping because it's "dry" and great for shipping, whereas calcium chloride will liquify. Calcium Chloride is a far better moisture absorber than silica gel by weight/volume/etc.
I have 10 of these wood crates, most will not have tools but many will have things with steel parts or others so I'd like to keep each dry and mold/mildew free.