The trail is high and dry. After any rain, there is usually no problem, just less dust. There is no place on the trail where anything can become swampy.
The bigger issue is if it storms while you are hiking or camping on the mountain. Since the area is so high, what might just be light rain lower down can be icy and windy on the trail.
Watch the weather forecasts for conditions during your time on the mountain, and be prepared.
