Earlier quoted context omitted.
It's true currently. At the support page you link first it is promised that it will be eventually changed but now: "Outside of Google's GCM, the fact is that there are no alternative push messaging frameworks for Android that can scale to the millions of users that TextSecure has. GCM requires Google Play." Note, the page confirms: Google Play still has to be installed to use TextSecure on Android. That is the curren…
Full disclosure: I wrote that Support Center article. The comment I was replying to made it sound as though TextSecure's infrastructure is almost entirely Google-based. It is not, and that's what I meant when I said "This isn't entirely true." The server is open source and it already includes preliminary support for WebSockets and Apple's APN push messaging network. Google's GCM is merely one component, and alternati…
What you call "nihilism" is simply the observation of the current state. At the moment Google has root access and all the metadata of all TextSecure users, and currently the user can't configure TextSecure to use some other servers even if he'd prefer to do so. Still I'm glad that I've seen that some server-side code is now open source.