No they don't. Taking a picture or screenshot of such an image immortalizes it. Stopping people from taking screenshots is essentially rootkit or virus function

No they don't. Taking a picture or screenshot of such an image immortalizes it. Stopping people from taking screenshots is essentially rootkit or virus functionality. (Plus it doesn't stop anyone from taking a picture of the screen.) You're trusting the person to not make this image permanent. Could be valid, could be a serious problem. That's if they just don't make the revenge porn out of slightly enhanced deepfake cloth.