No, they just need to make a lot of stuff illegal and/or very cumbersome, that's all. And that's definitely possible if enough govts are bribed and lobbied to cooperate with them. They have other corporates already in bed with them. At that point, it becomes a question of going after the few rebels and teaching them a lesson and the rest of the Internet crowd will be left in shock and awe.
Trusted computing 1.0 failed to take off, but you can be sure that it will be reintroduced in future and likely will sneak in under the radar, and trusted computing can very well make all forms of screen recording difficult or impossible except through the analogue hole, and that too can be dealt with in time by IOT devices that will refuse to function unless it can contact ML severs over the Net to "SmartScreen" verify what it is recording... for user security of course.