Yep, they are interchangeable. I have the DS and SS 9mm and I've had both guns apart cleaning ect. Same exact slide stop. In fact I've run the complete upper from the SS on the DS gun
I'll go to the safe and grab them and take the slide stops out to show you a pic of them side by side..
Edit: there ya be
Note: they are very Slightly different on the shelf that catches the magazine follower, the shelf on the single stack is slightly larger. The single stack mag release will work on the double stack, but the double stack mag release wont reliably catch all the magazines I have for the single stack..
So a single stack slide catch will work on your double stack, but the double stack interestingly enough is not reliable on the single stack