(Before continuing, please excuse my ignorance in the subjects of gravitational physics and aeronautical nomenclature. Also, I do not intend to troll. I'm honestly wondering. I'm also a little embarrassed at the brainteaser-like character of my question.)
Presume a human being is inside a vertically asymmetrical vessel with no interior atmosphere. The vessel is at rest with regard to a nearby (< 1 million kilometers) planetary system (similar to ours) and the vessel is in (essentially) zero-gravity. If the vessel accelerates around the axis that runs stem to stern (executes a barrel roll) will the occupant spin with the vessel or will the vessel spin around the occupant?
[0] https://youtu.be/lJJ9TcGxhNY?t=106
[1] https://youtu.be/lJJ9TcGxhNY?t=116
EDIT: Change "subject" to "subjects".