Nah, Akainu knows.
Imo there will be Fleet Admiral as well as one admiral at least who know of it.
Cause the special forces has to be created by a decision from a higher up ranking as admiral/fleet admiral
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The whole "Akainu doesn't know the forces of Wano Samurai" as a way to say he doesn't know of "sword" is imo not true
Because I think Akainu only said they don't have the info now, but it does not mean that they cannot get the info later!
The whole idea of Big Mom and Kaido meeting happened suddenly, that's why Akainu first needs to calculate things first, acquire info from "sword" forces, and THEN make up his decisions on the matter.
The fact that Drake informed Coby with the update of BM-Kaido alliance surely means higher up will know of such details, thus making sword forces evetually a unit that reports to the higher up like Akainu.
Besides, the whole Akainu scene with Kizaru about Samurai was only a hype thingy, it imo does not reflect Sword not reporting, it was just Oda's whim to hype them that way, that's all