It won't hurt your SWG at all. Since they are designed to put out small amounts of chlorine over a long period of time, we have found CYA levels of 60-80 provide adequate protection from UV rays for most pools, so that chlorine is available to oxidize organics throughout the day. With lower CYA levels, the small amounts of chlorine will burn off too quickly in the sun, and the SWG won't be able to keep up with demand.
The pool industry is just starting to acknowledge the CYA/Chlorine relationship and how they must be kept in ratio with each other, but they still don't quite get it. Most manually chlorinated pools will do fine in the 30-60 range as you are adding a large amount of chlorine all at once, and it will take time for the sun to burn it off. So now the industry is applying 30-60 as the standard for all pools regardless of how they are chlorinated.