Order vs disorder is a false dichotomy. The vast majority of situations fall somewhere in between "math problem with a proof" and "random assortment of unrelated events." The processes required to make progress at one end of that spectrum are different than at the other end, though most problems worth solving have components at different places on that spectrum. Engineers making micro perfection in well organized pockets is only valuable if people working in the far more ambiguous surrounding areas can apply it to the larger context.

People like thinking what they do is the most difficult and important part of any process, but most non-technical people can pretty easily look at technical work and see that they don't have the knowledge to do it-- the complexity and success/failure is very visible. Since other disciplines' obstacles and processes aren't so easily labelled and quantified, many engineers perennially fail to realize that their perceiving less difficulty and complexity in many other fields is because they lack the perception or experience to identify it.

This is a very well articulated and nuanced comment. In the most pathological engineering organizations, that lack of perception can fester into active resentment of other disciplines.