You can certainly air dry clothes with success, but it does seem to be a lot of trouble to go to to save ~$24 per year. Wrinkled and stiff clothes with an occasional odor would not be worth it to me.
The article mentioned the purchase of a $12.99 drying rack which would pay for itself in 6 months! That strikes me as pretty extreme penny pinching. How much gas and time did it take to obtain this item? How does that cost compare with a clothes line and clothes pins? In what other ways does this person waste money, or how much do they actually save, if they are religious about it?
What is the motivation? $24.00??
Anyway, I make a lot of jokes about solar clothes dryers. I don't know why I find it funny, but my customers seem to get it when I tell them it is just a clothes line.
If you do dry your clothes out side, you can get the stiffness out by running them on fluff in your dryer for a few minutes. But I guess that undermines the purpose.