95% of the information on the web is written language. It is only logical to say that a web designer should get good training in the main discipline of shaping written information, in other words: Typography.
Building structure requires serious listening, serious reflection, and serious imagination. All this requires experience, and no matter how experienced you are, it costs you. We spend our time and nerves to save users their time and nerves. Well-designed things give us the invaluable present of time. Well-designed products do not just save us time, they make us enjoy the time we spend with them. They make us feel that someone has been thinking about us, that a nice person took care of the little things for us. This is mainly why we perceive well-designed things as more beautiful the longer we use them, and the more used they become.
The first task for growing designers, as opposed to managers, is to craft a proper career path for them, one whose compensation and sociological status reflect their true value to the creative enterprise. This is commonly called the dual ladder. It it easy to give corresponding salaries to corresponding rungs, but it requires strong proactive measures to give them equal prestige: equal offices, equal staff support, reverse-biased raises when duties change.
Why does the dual ladder need special attention? Perhaps because managers, being human, are inherently inclined to consider their own tasks more difficult and important than design and need to deliberately assess what makes creativity and innovation happen.