I thank everyone for taking the time to post your opinions. I love to know what other quilters are doing. I think this is one of those things everyone must decide for themselves.
With the help of my friend Kathie I re-found the articles about washing fabrics. They were written by Becky Goldsmith of Piece O'Cake fame. Here are the links:
Washing fabric -- part 1
Washing fabric -- part 2
One of the commenters asks her my exact question.
Becky's answer was interesting.