Yeah, pretty much. "Developer Edition" is the new name for the Aurora channel. There is no more "Aurora."
(Well, almost. The "Developer Edition" stuff is desktop-only for now, so the alpha-branch builds for Android are still branded as "Aurora." But Aurora for Andoid and Dev. Edition for desktop are built from the exact same source code.)
Developer Edition == Aurora + different default settings + additional tools?
Or, what are the exact differences between Aurora and Developer Edition?