Most dechlorinators, like Stress Coat bind with the chlorine. It also binds with the chlorine contained in the chloramine. Unfortunately, one of the bi-products is ammonia (chloramine - chlorine = ammonia). Other products, like Prime, also bind with the ammonia, still making it available for plants and bacteria, but harmless to inhabitants, like fish and shrimp. Therefore, there's an assumption made that the small amounts of ammonia left over from using Stress Coat could be harmful to the eggs.
If you search around, many people had no success with eggs when using to Stress Coat. When they later switched to Prime, they had better success. I was one of these shrimp keepers. I had RCS for several months and always used Stress Coat. I've seen lots of shrimps with eggs, but no babies. A few weeks after switching to Prime, I started seeing more babies and continue seeing them.