Commercial Laundries and Dry Cleaners Using "Wet Cleanin
For woolen and wools such as cashmere have been putting such items in dryers for ages. Long as one knows what one is doing and has the proper equipment things should be fine.
Of course one isn't going to use blast furnace temperatures nor leave the thing in the dryer until it's crispy.
Using proper chemicals in the wash, rinse and then extracting properly the cashmere sweater will only need a few minutes in the dryer. Commercial laundries have access to wet cleaning chemicals that both in the wash and rinse stablise wool fibers to lessen the chances of shrinking, felting and or distortion.