I tested this out today. Here's a picture of a test coupon with two holes: the one on the left (SD) had each sheet individually dimpled. On the right (DD), both sheets were dimpled simultaneously.
After dimpling:
Here's the result after squeezing:
Section of double dimpled rivet:
On the bottom side of the bottom skin on the "double dimpled" hole ('DD' in photo), there is more of a radius (less crisp appearance from bottom), but I'm not sure if that matters. My intent with doing the double dimpling was so that the bottom skin uses the top skin as the dimple die, effectively making the bottom dimple slightly larger, as you might do if you used a substructure or tank die.
On another note, I'm looking at Cleaveland's tank dies and substructure dies and trying to understand the difference between the two. Cleaveland even says it's ok to use the tank dies as substructure dies. Also, I've read this entire epic thread (
http://www.vansairforce.com/community/showthread.php?t=87568&page=5) but am still confused.