Pretty sure that wasn't a fair assumption...

1) SBR = one regulatory hoop to jump through, narrows the pool of people that may have ever done it.

2) SBR 22lr = low probability. Why spend the money for a .22lr SBR? For my money, I'd rather have something else.

3) Suppressor = second regulatory hoop to jump through. While they're becoming more popular, they're still not what I'd call common.

4) Slide fire device = another low probability oddity. The practicality of this device severely limits the market of users.

So combine all of those factors together, then I'd honestly figure that an suppressed SBR 22lr in a slidefire device stock is probably about as common as bigfoot.

My experience with suppressors, on 22lr as well as larger calibers (6.8spc, .223rem, 308win, 284win) has been that they reduce recoil, even on similarly weighted barrel vs. barrel & can systems.

If you're worried about having enough energy to cycle the slidefire device (maybe I'm misunderstanding the point of your post?), then I'd likely go looking for an opportunity to retune the device. Last I knew, the popular model of this device was a spring return device, which is a simple fix - new, lighter spring. If it has now converted to a hydraulic system - then the porting would need to be opened up or a lighter oil used. Whether you want to go tinkering on a high dollar item yourself would be up to you.