Hi,
I feel it depends on the focus of the school and instructor. For example, I have a Tae Kwon Do background (many, many years ago... oh, I feel old...), and there breaking was done seemingly to look impressive at demo's, and partially because "that's just what you do". In other words, there didn't seem to be any real reason for why we did breaking, it was just an aspect of the training that you did, like the poomse, or sparring.
When I first did some breaking, it was not really well done. In the middle of a demonstration, the instructor had a few more senior students go through some breaking, then looked around at the rest of us. Most were fairly new, with about 6 of us having been training for 6-to-12 months (including myself). I was asked if I had ever broken a board before, I said no, and I got the answer "Oh. Oh, well, it's easy, just use an elbow". I was about 13 at the time, and that was the extent of the explanation I was given before attempting my first break. Not really what I would consider a positive experience, despite successfully breaking the board (after a few attempts).
Later, we did breaking in our (my current) school. Here, we went through what it entailed in detail, including why we were breaking (from our perspective), how to do it safely, correct technique, and more. From our point of view, breaking is another aspect of pushing the boundaries of what you believe you are capable of (as Omar said, changing his life), as well as the aforementioned confidence, and developing focus in striking. Very different experiences.