[Xposed Framework Modules] defim:
[MENTION=613602]robertogl[/MENTION]: I could now test and PB, while NC enabled - it does not work :-\. I'm using by myself "My Phone Explorer" https://play.google.com/store/apps/details?id=com.fjsoft.myphoneexplorer.client to forward notifications to PC, this works well.

Some lines from logcat:

03-13 00:02:46.322: I/SystemServiceManager(21783): Starting phase 600

03-13 00:02:46.323: V/NotificationListeners(21783): enabling notification listener for user 0: ComponentInfo{com.pushbullet.android/com.pushbullet.android.notifications.mirroring.NotificationMirroringService}
03-13 00:02:46.379: I/ActivityManager(21783): Start proc com.pushbullet.android:background for service com.pushbullet.android/.notifications.mirroring.NotificationMirroringService: pid=22325 uid=10057 gids={50057, 9997, 1028, 1015, 3003} abi=armeabi-v7a

03-13 00:02:46.386: V/NotificationListeners(21783): enabling notification listener for user 0: ComponentInfo{com.fjsoft.myphoneexplorer.client/com.fjsoft.myphoneexplorer.client.NotifyListenerService}
03-13 00:02:46.457: I/ActivityManager(21783): Start proc com.fjsoft.myphoneexplorer.client for service com.fjsoft.myphoneexplorer.client/.NotifyListenerService: pid=22346 uid=10189 gids={50189, 9997, 1028, 1015, 3003, 3002, 3001} abi=armeabi-v7a

03-13 00:02:49.267: I/ActivityManager(21783): Start proc com.pushbullet.android for broadcast com.pushbullet.android/.etc.WifiStateReceiver: pid=22751 uid=10057 gids={50057, 9997, 1028, 1015, 3003} abi=armeabi-v7a
03-13 00:02:50.518: E/Crashlytics(22751): Failed to retrieve settings from https://settings.crashlytics.com/spi/v2/platforms/android/apps/com.pushbullet.android/settings
03-13 00:02:50.541: E/Crashlytics(22751): Failed to retrieve settings from https://settings.crashlytics.com/spi/v2/platforms/android/apps/com.pushbullet.android/settings
03-13 00:03:07.819: I/ActivityManager(21783): Killing 22751:com.pushbullet.android/u0a57 (adj 15): empty #17

03-13 00:03:19.564: I/ActivityManager(21783): Start proc com.pushbullet.android for broadcast com.pushbullet.android/.etc.BootReceiver: pid=24562 uid=10057 gids={50057, 9997, 1028, 1015, 3003} abi=armeabi-v7a
03-13 00:03:20.165: E/Crashlytics(24562): Failed to retrieve settings from https://settings.crashlytics.com/spi/v2/platforms/android/apps/com.pushbullet.android/settings
03-13 00:03:20.170: E/Crashlytics(24562): Failed to retrieve settings from https://settings.crashlytics.com/spi/v2/platforms/android/apps/com.pushbullet.android/settings
03-13 00:03:31.396: I/ActivityManager(21783): Process com.pushbullet.android (pid 24562) has died

03-13 00:03:38.260: I/ActivityManager(21783): Start proc com.pushbullet.android for broadcast com.pushbullet.android/.gcm.GcmReceiver: pid=25833 uid=10057 gids={50057, 9997, 1028, 1015, 3003} abi=armeabi-v7a
03-13 00:03:38.737: E/Crashlytics(25833): Failed to retrieve settings from https://settings.crashlytics.com/spi/v2/platforms/android/apps/com.pushbullet.android/settings
03-13 00:03:38.743: E/Crashlytics(25833): Failed to retrieve settings from https://settings.crashlytics.com/spi/v2/platforms/android/apps/com.pushbullet.android/settings

So i think its a bug of PB and i hop someone has enabled crashlytics to report it ;)