I have a question regarding jumps because I'm not an expert (just making my own analysis). How can Adelina's 2A score higher than Yuna's 2A at the end of their programs when she practically did not do anything before and after her jump? Yuna, on the other hand, did 9 different movements (choreo), then jumped her 2A and then did a combination spin like right after the jump? It really puzzles me.
Neither of them did any steps or skating movements movements directly preceding the solo double axel.
Kim
Sotnikova
Kim did hers as the next element after her choreo sequence (the 9 movements you refer to), which was scored as its own element, but there was a break before she went into the 2A, so it wouldn't add any positive bullet point to the jump. I don't think either of them should earn bullet points 1, 2, or 3.
1) unexpected / creative / difficult entry
2) clear recognizable steps/free skating movements immediately preceding element
3) varied position in the air / delay in rotation
4) good height and distance
5) good extension on landing / creative exit
6) good flow from entry to exit including jump combinations / sequences
7) effortless throughout
8) element matched to the musical structure
Sotnikova's 2A looks a bit larger, with a bit more speed in and out (possibly because it's earlier in the program so her legs were fresher). So I can imagine that for some judges the dividing line for point 4 between "good" and "acceptable" fell between the size of those two jumps, and perhaps similarly for points 5, 6, and 7.
Sotnikova does a nice mazurka off the landing of her 2A, step, three turn, spin. Kim just steps forward directly from the landing into the spin. I would say that both those transitions contribute somewhat to the intricacy criterion of the Transitions component, but wouldn't add to the GOE of the double axel. If anything, Sotnikova's might count as "good extension on landing / creative exit," which might account for the couple of +3s she earned for the jump.
I'm not turning on the sound here at my work computer, so I have nothing at the moment to say about point 8.
Personally, I would probably go with +2 for that 2A of Sotnikova's and +1 for Kim's, which does match the majority of the panel.