⚫ Geothermal is available in limited areas. Few of those are proximate to salt water (though in Japan, Hawaii, and the Philippines this might be the case). I'm not aware that freshwater supplies are critically limited in any of those areas, however.
⚫ Geothermal itself tends to have substantial water requirements as a heat transfer / working fluid. Replenishing groundwater liberated through generating activities is a concern in many fields.
I went hunting for a useful bullet character some time back, and that's what I found. It's downloaded and I use xclip to copy it to my Xorg clipboard from command history ("^Runic<return>" generally brings it up:
$ xc < ~/Downloads/unicode-medium-black-circle
But it'd sure be nice if HN had a real fucking Markdown library.
The water would rain down eventually and replenish natural reservoirs. This, of course, further limits where the plant must be located (coastal areas would not be adequate for this)
There's no assurance the water would rain down where you wanted it to.
Since the Earth is radiating its heat anyway, just over more area, you're also only transferring that evaporation to specific locations (though it's possible that goethermal heat would radiate into space without heating and vaporizing water in some cases).
On a net basis the effect would likely be too small to matter. I suspect utilizing the heat more directly for either heating or generating purposes would be more useful.
The Yellowstone region has fairly considerable water resources. More useful for generation than just boiling steam, IMO. And some for the animals, of course.