I did not read the questions before watching the video. The video asked what we can tell about the nucleus and the environment from the given picture. I did not think about spin orientation. I thought only about what the energy splitting could tell me. Given I=1, and no degeneracy between +1 and -1, that it is clearly experiencing a magnetic hyperfine interaction, but since the levels seemed to be very evenly spaced, I figured that it was not experiencing an electric quadrupole interaction. So, I remembered that the crystal structure influenced this and thought that must be what the question is getting at. We’re discussing an ensemble, so looking at the crystal structure makes sense, and low temperature must be a clue that it’s a solid. So I concluded that it must be a highly symmetric crystal structure with at least 2x 3 (or more) -fold rotation axes.
I was completely off topic.