I would assume that by using "Obama administration" in this context it was meant to be purposefully vague. The Executive Branch is massive. This could be anyone from the Pentagon, CIA, DHS, to many others who just happen to eventually report to the President. Many of these organizations have the motivation to maintain their current legal powers.
"Many members of Congress, the President's own review group on NSA activities, and the Privacy and Civil Liberties Oversight Board all agree that the use of Section 215 to collect Americans' calling records must stop."
It could be possible that the President overruled his own policy review group. But I find it unlikely given his propensity for consensus.
According to the EFF (https://www.eff.org/deeplinks/2014/05/eff-dismayed-houses-gu...):
"Many members of Congress, the President's own review group on NSA activities, and the Privacy and Civil Liberties Oversight Board all agree that the use of Section 215 to collect Americans' calling records must stop."
It could be possible that the President overruled his own policy review group. But I find it unlikely given his propensity for consensus.