It's a stretch to argue that Go's concurrency model is pi calculus. Go supports lexical closures, and even the initial body of a goroutine can close over variables in the parent scope.
Go's concurrency model is fundamentally lexical closures[1] and threading, with channels layered on top. Lexical closing is, afterall, how channels are initially "passed" to a goroutine, and for better or worse it's not actually a common pattern to pass channels through channels. And but for Go hiding some of the lower-level facilities needed for thread scheduling, you could fully implement channels atop Go's lexical closures and threading.
I think the similarity to pi calculus is mostly coincidence, or perhaps convergent evolution. The choice not to make goroutines referencible as objects, and the fact channels can be communicated over channels, makes for a superficial similarity. But the former--lack of threads as first-class objects--comes from the fact that though the concurrency model is obviously threading, Go designers didn't want people to focus on threads, per se; and also it conveniently sides-steps contentious issues like thread cancellation (though it made synchronous coroutines problematic to implement as the GC has no way to know when a coroutine has been abandoned). And the ability to pass channels through channels is just consistent design--any object can be passed through a channel.
[1] Shared reference--non-copying, non-moving--closures. Though Go's motto is "share memory by communicating" as opposed to "communicate by sharing memory", Go comes to the former by way of the latter.