I recently had a game where I found two Damaged Stasis Pods. They take up a valuable augmentation slot so I'm not sure if there is any benefit to taking a second one. I never found the Zoltan researchers to fix it, but if I had, would I have gotten two Crystals?
Yes, it does, but each Zoltan research station will only open up 1 pod. To get 2 crystals, you will have to get that random event twice. (source)