Sometimes it depends on how we each categorize these things for ourselves. For example, what I admire about HCB is the timeless slice of humanity that he so often captured. In this same category, I also think about Dorthea Lange, Walker Evans, Paul Strand, Helen Levitt, Vivian Maier, Winogrand, Frank, W. Eugene Smith, and even the better photojournalists covering conflict, war, famine, poverty, the human condition. Saul Leiter and Fan Ho straddle humanity, but I'm more drawn to the art – design, impression, mystery – inherent in their photos. That's not to diminish the "art" inherent in the humanity images – in many cases, it's the artistic strengths of the photos that make them stand apart, and greatly enhance the humanity message.
So in my categorization, HCB-style "street" is a narrow subcategory of a more important theme – humanity. But that's just one opinion.