Always wondered what they meant with that line.
My wet dream would be that to get upgrades to AF to bring them to ilevel 105 like RUN and GEO, but in all honesty that seems such a huge work that I can't see it happening. I'm confident they meant something else with the line above.
This reminded me I did my tests before the july patch, it was a bit harder to cap att back then for MNK.
Here's the results I'm getting. Shijin Spiral on the left, Asuran Fists on the right.
Chapuli(102): 4273, 4343
Delve Fodder: 4197, 4239
Qilin: 3304, 3352
Ig-Alima: 2352, 2383
Tojil: 1489, 1214
Gear used is pretty much the default gear in the spreadsheet, I only changed a couple of items in the Asuran WS set, but didn't put anything special or from megabosses or 90+ mils stuff. Pretty normal items I'd say.
Of course buffs were pretty scarce, the ones active were Pizza+1, Berserk, Aggressor, Boost-STR and Haste which doesn't increase WS damage anyway.
Situation changes when you reach capped att and add Fighter's roll of course, like you said.
It also changes quite a lot if you use Rigor instead of Oaxitur.
tl;dr
I'm not trying to deny anything you said, I just think Shijin at 1/5 is not as essential as you said it is for a non-career MNK who's struggling to spend his merit WS points elsewhere (which was the situation we started this discussion from), since Asuran is a really nice compromise/alternative, while not being better overall of course.
You probably need to get a better Shijin set, but also do keep in mind that typically Asuran Fists works really nice in situations where you don't have a lot of buffs or the ones a mule could provide.
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