All wallets in the puzzle were simply created randomly within their exponent.
There is no point in engaging in any type of hypothesis/study.
This is my opinion.
I totally agree, look at the % of the Range column
#puzzle Private Key Range Private Key
% of the Range-----------------------------------------------------------------------------------------
1 1...1 (2^0...2^1-1) 1 --> 100%
2 2...3 (2^1...2^2-1) 3 --> 100%
3 4...7 (2^2...2^3-1) 7 --> 100%
4 8...f (2^3...2^4-1) 8 --> 0%
...........................
best way to search with keyhunt is to go for sectors of 5% each randomly.
Maybe starting from the end between 100%-95% and 95%-90% of the range.....