It seems that arguably inconsistent statements by Zimmerman are the prosecution’s main evidence. The defense did not want these statements public because they hope to prevent them from being introduced at the trial.
You have to ask, inconsistent with what other evidence? The only difference between the evidence Corey has, and the evidence SPD had, is DeeDee and Sybrina. SPD said that none of the evidence contradicted Zimmerman's account. NONE of it. Corey is going to invoke conjecture up the wazoo, and that is going to be met with objection after objection. She needs evidence.
Enter DeeDee for the proposition that Zimmerman chased Martin down and assaulted or battered Martin. Enter Sybrina for the proposition that Zimmerman held Martin at physical disadvantage for an extended period (Martin is the one yelling for help), then shot him for no reason. Of course Zimmerman's account is inconsistent with DeeDee and Sybrina.
-- The defense did not want these statements public because they hope to prevent them from being introduced at the trial. --
The state can't prevent the introduction of Zimmerman's account at trial. That's impossible. The reason the state doesn't want the material public is that the state is attempting to try the case in public, and wants to suppress all the material that undermines its murder rap; and its fanciful claims that Zimmerman's own account is "incredible" to the extent it can't be believed.
Anyway how material can these arguably inconsistent statements be that cannot be explained away by the headbashing he took that night???