Folks, here is my scientific research, only mathematical data only.
based on Korg TM40 set at 120. One crocthet =4 x1/16 notes.It would took me 2 min and 30 sec = 150 sec. to complete this etude.

so at 140 in my caculation it would be (20/120)X100 = 16.67% shorter. So 150sec now becomes = 150-((150X16.67)/100) = 125 sec = 2minutes and 5 sec hitting last note C.
so according to Chopin's marking 176 -160(prestomisso).
Therefore, at 160, it would be {(160-120)/120}x100= 33.33 %shorter.
The new time becomes 150-((150x33.3)/100)) = 101 sec = 1 mintes and 41 sec.
So at 176 = {(176-120)/120}X100=46.67% shorter
so new time = 150-{(150sec X46.6)/100}= 81 sec so that is 1 minutes and 21sec. 
In real world I have seen the world class pianist play this etude around 1m40 to 2m 20. So at 176 is human impossible speed., so I can not find anyone play that fast unless your are a robot.
So the target real world marking is looked like at 140 mark.Correct me if you think my caculation is wrong, but I have to say, Chopin's metronome is way off to our modern metronome it must be some errors involved. Have your say...