7/8 result is already Lean-verified, yet experts are spending their time on the unverified 11/12 paper because it’s shorter and the only one a human edited
Probably the 7/8 has more tricks and special cases to get the better bound. Also, to make the English version close to the Lean version it probably expands some details. So it's longer.
The idea is to understand the 11/12 version, add a few intermediate steps, and get an intuitive understanding of it. Then in a second step go for the 7/8 paper, hopping it's an extension of the 11/12 paper.
Then try to guess 5/6, perhaps as centaur math...