As it turns out, those two districts also happen to be the most trendy in Berlin. There are many other districts in Berlin that are not affected. For example, I haven't heard much about a rent crisis in Wedding, Alt-Moabit, or any place outside of the Ring-bahn.
To put the "crisis" in Bay Area terms, it would be like if it were impossible to find a place to live in the Mission, even though you could still get a place in the Panhandle, and therefore there was an article about a rent crisis in San Francisco, ignoring every other district in the city.