At the top it says the author is Douglas Rushkoff but the avatar in the FB screenshot (under The Story) is Jacob Appelbaum's[1].
Here are the permissions it requests[2]: "publish_stream, email, rsvp_event, publish_actions, friends_online_presence, user_online_presence, manage_notifications, manage_friendlists, create_event, ads_management, xmpp_login, read_stream, read_requests, read_mailbox, read_insights, read_friendlists, user_work_history, user_website, user_videos, user_subscriptions, user_status, user_religion_politics, user_relationship_details, user_relationships, user_questions, user_photos, user_notes, user_location, user_likes, user_interests, user_hometown, user_groups, user_education_history, user_games_activity, user_actions.video, user_actions.news, user_actions.music"
There would be no point in requesting most of those if all you were doing was publishing a message or deleting content.
As PaulMest pointed out, apps do not have access to delete most of your content.
[1]: https://twitter.com/ioerror
[2]: https://github.com/kylemcdonald/socialroulette.net/blob/mast...