Our pool is "salt water" and no issues. Even the pump that's submerged in the bottom collection basin is just fine.
In fact, all of our equipment, travertine decking, etc. is just fine. We've gone through several of these hard freeze and thaw cycles, extreme temps, ert with no cracking, rusting, or other problems.
The salt level in our pool is around 2800-3200 ppm at any given moment which isn't much and many "chlorine" pools are at similar levels.
I don't want to turn this into a SWCG thread, but I honestly don't know why anyone would do otherwise especially in a place like Houston. It pretty much takes care of itself, but to each their own.