thebabywearer.com has a lot of forums that talk about the differences. They are both in the same league. They are both German woven wrap. Both have the wonderful diagonal weave stretch. Which allow for great support without pressure points. The storchs can be washed and dried in a dryer. Didys should be line dried they can shrink more. Storch has 2 fabric weaves the strips and leos. Didy has like 6 different weaves; indios, strips, jaquards, wool/cotton, cotton/hemp, and cotton/linen. I could go on for hours. Your best bet is to pick a fabric weave that you like and color. You can't go wrong with either one, they are both fabulous!
Beth