So when you have a bad take machine, you get the following processes:
They make a bad take.
People are outraged and talk about it.
The bad take machine likes it and does more of that behaviour in future.
If, on the other hand, they make a take and nobody cares, they do not get reward and the behaviour is selected against.
The behaviours drove the spread of the outrage replicator, and the outrage replicator provides the selection mechanism for the behaviours. Thus, via the spread of our outrage on Twitter, we have operant conditioned the bad take machine into producing worse takes.
Which is to say, it's bad on purpose to make you replicate it.
While the client has some knowledge of his symptoms, he may not understand the real causes of them, and it is foolish to try to cure the symptoms only. Thus while the systems engineers must listen to the client, they should also try to extract from the client a deeper understanding of the phenomena. Therefore, part of the job of a systems engineer is to define, in a deeper sense, what the problem is and to pass from the symptoms to the causes.
Just as there is no definite system within which the solution is to be found, and the boundaries of the problem are elastic and tend to expand with each round of solution, so too there is often no final solution, yet each cycle of input and solution is worth the effort. A solution which does not prepare for the next round with some increased insight is hardly a solution at all.
I suppose the heart of systems engineering is the acceptance that there is neither a definite fixed problem nor a final solution, rather evolution is the natural state of affairs. This is, of course, not what you learn in school, where you are given definite problems which have definite solutions.