Just ask the Carthaginians…
If anything, doing lots of this might reduce the salt concentration in soils, due to increased rainfall.
I suppose it must be slowly becoming clear that I have no idea what I’m talking about (save for a nickel worth of Roman history).
1. The humidity in the air drops, increasing evaporation rates because of the lower partial pressure of water vapor in the air.
2. The humidity on the surface increases (dusty areas becoming moist, plant leaves uncurling to expose more surface area for other processes but incidentally increasing evaporation rates, reservoirs having more surface area, ...), increasing the evaporation rate.
There are limits of course, and that back-of-the-napkin analysis ignores 2nd-order changes in temperature and all of the other hairier bits of climate modeling, but it illustrates that things are more complicated than they appear anwyway.
Edit: "inverse" here just meaning a multiplication by -1
It would be interesting to have a water cycle simulation with sliders.
Seawater sprayed into the air becomes tiny salt crystals, which in turn help clouds to form, and cause increased rainfall. The rain produced has negligible levels of salt.
In places with dry climates, this often can turn desert land into farmland across an area hundreds of kilometers wide.