Obito owned Akatsuki, but technically, it was Madara who REALLY owned it
Obito has always been following Madara's dream for peace. He's been listening to Madara and acting as his hands ever since he was a kid, and he was the only one who knew about it. He created Akatsuki to fulfill Madara's dream.
Therefore, technically, since Obito is Madara's apprentice and a believer in his ideals, and he created Akatsuki just for Madara, Madara owns Akatsuki. He wouldn't be literally a leader of it as much as he would be a "spiritual" leader of Akatsuki.
Not that it matters since Madara has been dead since before Akatsuki was even born, but it's still true.
Would you agree?