Hey Nate!
The way I see it is that we're all guests in any new environment when we first get there. Over time, after investing love blood sweat energy tears, these places gradually become our homes. Sometimes it feels like it happens fast, sometimes it feels like it takes forever. Sometimes we are embraced by whomever is there before. Sometimes we're not and we displace (ask me how I felt moving to Avenue D back in the day). Sometimes we're not and we're the ones displaced.
For me personally, the Haight didn't start feeling at all like home for quite a long time. Years. But over time I started recognizing the shopowners. Getting to know them, their names, where they lived, what was on their mind. And my neighbors (those that stay long enough to get to know). And the cops (on the rare occasion you saw one). And the postal carrier. And the street cleaning crew. Etc.
And, especially relevant to this thread, I began to recognize the local transients. I might see a handful guys over and over again who have been walking the streets of our neighborhood for a decade or more. (Which I guess technically makes them in-transient, but they're likely not under the same roof every night like I am.) This is their home, too.
But what I don't see is the same faces among the street kids. I see new kids every day. They're here one day, gone the next. It's rare that I'd see a kid last a week. Maybe a handful I've seen come back after a year or two. But that's the exception, not the norm.
So my point about it being "our extended home" is that, after these many years, love or hate the Haight, it has become my home, and it is the home for the others that have invested something of their lives in our neighborhood.
For most of these street kids, the ones the author is writing about, the ones that I see every day, they don't consider it home. They don't treat it as their home. But I do. And so do my neighbors.
Does that explain it a bit better?
Edit: Moxie in another comment mentions the (true) squatter scene, which is a very important (and itself diverse) subculture to recognize. I agree completely. I'd suggest that the Haight is also their home as much as it is mine. Hell, a million times moreso if we're talking actual blood sweat and tears.