Can anyone tell if it's also free to spin about the stem?
I am not sure but maybe the emisphere is free to spin about the stem. They would spin in opposite directions, when they both spin in contact with the table. Without this freedom to spin, the emispheres would be constrained to slip on the table, because they couldn't spin in different directions. But, looking at the video, it seems to me that the movement, at the end of the video, seems clean, which makes me think that the emispheres are free to spin as the table wants, in opposite directions.
Also, at the very end of the video, when the top is rolling along the table, I note that it isn't tracing a straight trajectory, like I would expect, the two emispheres having the same diameter. This, too, makes me think that the upper emisphere is free to spin about the stem.
In the first half of the video it seems that only one emisphere is in contact with the table: here the top seems to behave like a biconical top, or a spinning tube.