Not saying I agree, but there is this notion that "proper" CS students are interested in CS for its own sake - they're meant to find algorithms and data structures and programming paradigms inherently fun and interesting. Web developers are expected to be interested in the end-game, not the process - having a cool feature that works cross-browsers is something to be passionate about, the fact that it uses websockets is just plumbing.

I hasten to add that I hold no official position on the matter and merely wanted to help you see how it's possible to consider CS graduates and web designers as too distincts sets.