This doesn't mean that the dispute is over a violation of attorney-client privilege by DOJ. It more likely means that there's dispute of discovery requests for documents that one party is claiming are protected. And it could be either party.
Apparently there's an Attorney-Client dispute in SPLC. Reminder that DOJ has violated Jim Comey's Attorney-Client privilege twice, that we know of, and I suspect, a third time. storage.courtlistener.com/recap/gov.us...