Just a quick update:
I emailed Hyperion, the manufacturer of the dock, and it seems they do not know whether the dock will charge at USB or AC capacity. They said they'll have to "test" this.
Doesn't exactly inspire confidence to the Hyperion product now. So I will stay away from their battery. Who knows what kind of QA they'll have if they don't even know about their own docking station charging capability.
AT&T Galaxy S4 Active with 4G LTE
Stock ROM - rooted
Official AT&T Jelly Bean 4.2
Nexus 7 (2013)
Stock[/B] ROM - rooted
Official Jelly Bean 4.3
Galaxy Note 8.0
Google Nexus 7 Tablet - Official Google JellyBean 4.2
AT&T Galaxy Note with 4G LTE - Official AT&T Ice Cream Sandwich 4.0.4