Did some digging, yes you have dust devils in the Patagonia Desert, lots of them. There is also hang gliding and paragliding in all those desert thermals. I think they are a main factor that shapes the desert land forms and shifts vast quantities of dust around. You may know them as "tolvanera." Your accident at 1400 was at prime time for tolvanera development, frequently between 1400 and 1600 on clear, sunny days. You can have them in cloudy days too. As a rule the winds are below 60 mph (100 km/hr) which is plenty to take you out with a kite. You had two lines break which may have helped your situation a great deal. Which two lines broke, where and when? Were they old, any idea why they broke? When do you see tolvanera there?
"A dustdevil is a whirlwind into which dust and debris gets caught up, making it visible. Dust devils form through a different mechanism than tornadoes, and are much smaller, usually only 10 to 50 feet in diameter, and usually not extending more than 100 feet into the air. They usually are seen in relatively dry conditions, when sunlight is providing strong heating of the surface, and when winds are generally light. The heated land surface can start to produce convective rolls of air (as in the diagram above). Some of these rolls can get tilted upright, producing a dust devil."
From:
http://www.weatherquestions.com/What...ust_devils.htm
More at:
http://en.wikipedia.org/wiki/Dust_devil
A clip in German, still the visuals carry the points well. There is an amazing sequence of two paragliders being pulled aloft into one and a number of hang gliders being tossed about in others.
Here is another one, you really don't want to have a kite up in one of these.
One last question, have you ever been shocked by your kite bar? With the normal dust loads in the air, there is the potential for some pretty strong static discharges to occur. The stronger the wind and more dust the stronger the shocks.
As to dealing with this, you might talk to some kiters in Nevada, Colorado and Utah on here. Lots of dust devils there including some I heard about involving kiters in Nevada.
p.s. - nasty incident and accident in Oahu with that dust devil Windrider. Sounds like a strong one.