After talk with a mathematician friend,I was clearly not wrong.... That's a relief
And I could reduce to 1/10 of the pool... what is great but not enough tho because the error bar still in 15 orders of magnitude

Good but not enough for me
Searching a little more is actually not far fetch my assumptions not my techniques.
Some papers already did something close but I need to think more and have dedicated pc for that to neutralize the noise.
Interesting how reminds me my time in spectroscopy Lab
https://imgur.com/a/NTlgYpphttps://imgur.com/a/NTlgYppAnd that's pretty cool!