(Replied to wrong comment above; reposting here.)
According to TFA, he didn't accomplish the hack via WiFi. The inflight entertainment screens have a wired connection, and he connected to them by plugging an ethernet cable into that system (supposedly accessible if you take the right cover off the right box under the seat).
I wouldn't have thought that this system is connected to vital systems, but TFA notes that the seat-back satellite phones are connected to this same system, which seems reasonable.
So, maybe it makes sense that everything is connected for historical reasons. When those phones were added, it didn't make sense to isolate them from the rest of the plane's systems -- because they were just phones; what harm could they do? So, maybe the phones just piggybacked off the existing system. When the inflight entertainment stuff was added, maybe they just piggybacked on the phone system, which was itself piggybacking on the important systems. Clearly, if things were designed from scratch, that wouldn't have happened. But I'm sure many /. users are aware what happens when networks evolve more, uh, organically -- especially in penny-pinching corporations.