May be bestt to plumb your whole house softener to your autofill.
If using a portable RV sized softener for your autofill, you will need to regenerate it more than once a year.
Chances are your whole house softener is 48K or 64K grains and needs to regenerate every 1500-2500 gallons - based on its settings and your water hardness. A portable softener has less capacity and will need to be regenerated accordingly. In Vegas, your main water source is the Colorado River - with some of the hardest water in the western US.
@mknauss able to let you know how his softener works for his pool as he is using Colorado River water as well.
You don't use softened water if doing a drain/refill - you use it for water lost to evaporation thru your autofill.
Your entire 15,000 gallon pool will evaporate 1 to 1.5 times its volume yearly - possibly more - but the CH remains and gets added to by the autofill water, so the CH continues to increase unless you used soft water for the autofill.