Personally? No.
I believe the Admirals fight will be treated like the Yonko fights we saw here in this arc: only select people from the Worst Generation (or, if the Revos participate in that same arc, then them, too) will face them.
I am confident we'll get Luffy vs Akainu and Zoro vs Fujitora. So, that leaves Kizaru and Greenbull for the specific members of the WG and/or Revos to deal with (at least, I'm sure Sabo will participate here). No way only the SHs will be fighting ALL of the Admirals, that would be unthinkable even for Roger pirates or even Rox pirates, let alone the SHs. I doubt glory hogs like Kidd and Killer or someone closely associated with the SHs' interest liek Law would just sit pretty and watch the SHs fight ALL of the admirals without the itch to jump in, too, especially EoS. The Revos, too, won't just leave everything to the SHs after what happened between them and Admirals in the Reverie.
I am of the mind Yamato and Cook will be fighting the 2 Admiral candidates (Gion & Tokikake, respectively).
Gion is obvious: likely the strongest woman currently alive in the Marines.
Tokikake parallels Cook in many ways: a fearless womanizer who constantly got rejected by women and is friends with a super strong swordsman (Fujitora). His code-name, Chaton, is the French word for "Kitten", and Cook's fond of the French language. That means Cook vs Chaton is self-explanatory, imo.
Both Admiral candidates are also based on real-life actors, btw.
