Who cares what WhosWho accepts or not? We just got a chapter of Lucci salty with "hurr durr i dont accept Straw Hat as Yonko wah wah wah".
And his "greed" in getting a fight was completely twisted into a bait to lure Drake and expose him.
Sounds like you are projecting your desire of Whoswho being "special" among the Tobi Roppo and denying the reality that Oda made the Beast Pirates standings pretty fucking clear.
The ONLY special case was Hawkins, due to the fact that he barely joined them and couldn't have time to climb higher.
Anything aside from that is nothing more than delusion and wishful thinking.