Arguably, without design, there is no product - by making decisions that are necessary to take something from paper into reality, you are going through a process of design.
Design is most acknowledged in consumer goods, but it is present everywhere. Imagine you are building a widget that forms part of the internal mechanism of a space probe. It will likely only be seen or touched by a few technical people, it probably doesn't need visual appeal, but you must still design it to be feasible to manufacture and convenient to handle during assembly.
You will have to make decisions above and beyond its basic function - does the form fit the assembly worker's perceived model of what it does? Can it be held in human hands safely and without risking damage? Would any damage or incorrect installation be visually evident?
There is a false dichotomy between engineering and design. Modern technology is closing the conceptual gap. Whilst we need a certain degree of specialization, I strongly believe there should be no such thing as a 'pure' engineer or designer. If we want to create usable tools, we all need to know a little of both.