A lot of things that seem to fall under copyright are not particularly difficult to brute force. Looking at music for example. Most music follows a set of fairly basic patterns where each part of the music (drum beat, chord progression) is just a short arrangement of only a few choices. And yet the copyright system seems to take even a tiny piece of a song as copyrightable. It would not be difficult or time consuming for a script to generate every possible 4-6 chord progression and every single kind of melody which is close enough for copyright (Often these cases use very general terms like "A descending melody starting at C")

I think the intellectual component to randomly generated content is distinguishing between the good and the bad. And there's a lot of bad.