Yes. Discovery (depositions, documents, etc.) and trial witnesses should reveal actions and activities similar to those in the AIG case were the comments, testimony and memos were damning. It is no wonder that the US Government wishes to label it all privileged.
Frankly, the Judge punted. It's rare to see the prevailing party appeal but this is almost certain to be one of the few instances. They didn't bring suit to hear a ruling on the case law, nor do they care about setting precedent for cases relative to the issues at hand - they want to get paid. Unfortunately, it's unlikely the Appeal renders a decision that differs drastically from the Judge's Opinion, unless they draw an altering interpretation of the Economic Loss principle.