Zoro's business is the two super doctors currently on the live floor. Sanji will take care of the enemies on the live floor while Zoro receives the well needed medical attention is the most realistic scenario.
There is a reason though Zoro is telling them to go to the live floor to help the alliance out... not himself.
Zoro needing medical attention is the obvious thing. How the scenairo plays out i agree with your logic that Sanji and others will be leading the fight on live floor