I don't think WG can take credit from Luffy this time. Even narratively, it makes little sense, since Wano SHOULD cement Luffy on or above Yonko level in notoriety!
WG have done this throughout the story:
At Alabasta
At Enies Lobby, the didn't take credit for its destruction, they said Luffy did it because they'd look stupid for destroying their own base.
At God Valley... despite countless Pirates there to witness, it was all accredited to Garp and not Roger.
At Dressrosa, it only failed because Fujitora (WG member) broadcasted the truth on TV which isn't really possible here.
Whenever the WG have been involved in an incident directly, they always controlled what the world knew of that incident.
WG is in Wano, easily can control the narrative.
Also, Wano isn't necessarily where Luffy's cemented at Yonko level to the world, there are still 3 Emperors for Luffy to defeat.
You're also not considering the fact wherever the WG have it in their best interest to take credit, they will... that's exactly what happened at Alabasta or God Valley. The more involved or greater the presence of the WG in a situation, the more likely it is they take credit.
Taking credit for taking down an Emperor is important.
If anything, it's better for the world to not truly be aware of Luffy's duties given there's still a lot more of the story to go. 3 Emperors left potentially, the Admirals, Elbaph... there's a lot of the story to left for a need to rush Luffy to superstar status when it's the lack of status, recognition, conflict and drama that drive the story and narrative.
It's possible, but if we put the incidents where the WG have changed the narrative, they almost have a 99% record albeit when they themselves (the WG - Fujitora - on live broadcast) tells the truth which is not really possible here. Unless Drake has access, it still won't be believed because he's a Pirate to the world.
Maybe if Fujitora was at Wano.