Page faults block the thread, not the process, because the thread is trying to access memory that isn't available to it. Other threads run just fine so long as they too don't trigger page faults. The article specifically mentions this, and I've built entire architectures based around this reality. They work great.

...and of course there are also multi-process concurrency models, where even if a process were blocked, the other processes would not. So no, it does absolutely matter what combination of concurrency models you are using.