At this point, it'd probably happen or at least for the mid trio. The way the chapter are going right now imply to me that the Scabbards / Yakuza will be used as a hype tool for the beast pirates until the Strawhats will come to save the day
Hyogoro was already saying they could only stall / injure the Tobbi Roppo while Jack pointed out the Sulong time limit, with the current plot around Luffy and co reaching the top being used as a plot device for the time scabbards/Yakuza will get destroyed imo and from
And the focus on King / Queen blocking the way is obviously a set up for Luffy's top subordinates to end up taking care of them the time for (at least) Luffy to go up
Which would then leave some of the following group(Tobbi roppo) to the mid trio imo, or at least Franky. I'm hoping for Robin to get her fight too, but judging by Oda's track record with her, not so sure. Definitely possible though since there are 2 females in the Tobi roppo with Oda liking female VS female battles.
I think Who's Who will be focused on Yamato at one point though since she is his target in the goal of challenging a calamity. Ulti is on her as well, with Sasaki being (momentarily) captured while Drake is a double agent
For people who think they aren't ready, remember that general Franky at least was handling 2 donquixote executives in PH, has a Shogun fusion mode(with Brook, Usopp, Chopper cooperating) and has been building some anti-Kaido weapons we have yet to see, and thus potentially allowing him to cross the bridge to veteran lvl characters, same way RS potentially allowed Sanji to cross that bridge to challenge YCs
And since Oda is apparently aiming at finishing One Piece in 4 - 5years, he might think it's the right moment for each of the SHs to make big steps in their evolution and infamy during this yonko saga
In the meanwhile I assume that Marco will come to delay Big Mom, while the Supernova will start their revolution against Kaido after the Scabbards will be defeated. With Jack up there, Inu / Neko should ultimately end up fighting him later though