As always, you're doing a great job of making sense of what's out there.
However, it seems to me that, in general, prime number problems, especially the major ones, have been shrouded in incidental complexity due to research. In other words, I feel that a better job should be done to determine simpler creative solutions. Classics. Not as long as Wiles proof!
This has been my goal over the past few years of working on such concepts. Cheers.