Thomas,
Welcome to the forum! I'm going to answer with a qualified yes.
Your space is almost exactly the same volume as my home theater. I'm a satisfied owner of the PB12-NSD. I can enthusiastically recommend it. The qualification in my answer comes from our listening habits. We don't listen to music or watch movies at insanely high output levels. I also prefer a more integrated sound, not bottom heavy like I've heard in some systems. We also don't watch a lot of action films filled with explosions. We did watch "Dark Knight" with some friends at a higher than normal level and the sub had the doors and pictures rattling! I'm actually going to go back and add some foam strips to the door jambs of the two closet doors to help control it. Also, there are two scenes ("The Abyss", "Darla") in "Finding Nemo" that are downright frightening even at moderate volume!
I've cranked my system to uncomfortable levels (at least for me) and the PB12-NSD didn't give out of gas. I've measured the in room response and I'm down 3db @17hz! It's pretty flat in my room from 20hz up to crossover.
Doug