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The reason you did not spot this earlier is because you weren't being a filthy incessant rat who was tunnel visioned into somehow producing Mihawk slander out of 0 substance. What you are comparing is Sengoku who was the active Fleet Admiral at the time in the midst of a war, in which the marines had exhausted themselves fighting a Yonko Fleet, which in itself had resulted of the death of said yonko, thus ending the Era of Whitebeard. After these exhausting events and drawn out war, shanks, another Yonko appears and kindly asks Sengoku to end the war, since it was Sengoku's final say, and he agreed.
To a retired Sengoku with white hair that sits about eating biscuits all day, in the safe and comfortable position of the WG in retirement, briefly addressing the rise of Cross Guild and it's putting bounties on marines, resulting in T-bones death.
If anyone reading this had more than one brain-cell, you could see how any association directly with Mihawk would have to be severely forced, the only relation is that he is part of the guild, When Sengoku is talking about what the guild is doing, and what it is resulting in, rather than looking at the individuals themselves, but the whole.
Now we can throw this baboons post in the garbage can, where it belongs, because believe me, only a idiotic rat faced ignoramus would bother making such a reach of a post for attention.