An arming plug would not be enough -- you'd need a separate charging plug.
But occasionally LiPo batteries catch on fire when they're charging, after a crash, or just because. The fire is sudden and vigorous, which would not give you time to get the battery out of the plane before Bad Things happened to it. If the battery's out of the plane when it catches on fire, it only incinerates itself, not the plane.
So most people keep their batteries separate from their airframes, and consequently have them out of the airframe for charging.