IIRC, the Judges originally denied access to the BC based on the fact that those requesting it were not ‘suffering’.
LTC Lakin is, in even the strictest legal sense, suffering, and the heart of the issue is the BC and the testimony of those who handle those documents.
Ergo, there should be only one conclusion.
The Investigating Officer has already ruled that information pertaining to Obama's eligibility are not relevant to the charged Lakin is facing and turned down defense requests for access to them.