No - there is no Search function here. This is an information architecture site - a discussion of designs.
This section is about one of two finding techniques: Search.
Although there have been arguments that a Search function is the sign of a poor hierarchical navigation scheme, the breadth of large sites requires more than Browse to find information.
The important questions are scope and interface design - in the context of the anticipated desires, skills, and experience of the intended user population.
Is this level of pure simplicity the best answer for all Searches? No. But, for a very basic starting point? Sure...
Is this level of pure complexity the best answer for a Library Search? No.
But, for a very comprehensive starting point? Sure...