Rainwater is distilled water.
I may be wrong
But evaporation, sublimation, condensation is not distillation
Distillation necessitates heating water to Kelvin: 373.2 K
Celsius: 100ºC
Fahrenheit: 212ºF
That doesn’t occur in the normal rain cycle.
You can get those temps in nature but it would volcanic or other extreme heat. But then, that’s just a boiling off. Capturing it and recondensing it would be distillation. Hence, a “still” with manipulation and control.