A succinct way I’ve framed the split is that a front-of-the-front-end developer determines the look and feel of a button, while a back-of-the-front-end developer determines what happens when that button is clicked.
Doing it right requires a different pace of working and a much broader thought process than “ok, let’s get this thing out the door.” Which is super tough because most workplaces place a huge emphasis on getting things out the door, and fast. Little agile tickets that are expected to be completed in micro sprints to me seem to be antithetical to doing it right.
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.