Your article is from 2016, while I was walking about 2015. This is pretty important since the events from sylvester 2015 were an important changing point. But please let's do not discuss single articles, it is more about the general sentiment the media wanted to convey. E.g. the infamous "Dunkeldeutschland".
But it's crucial. It shows that if there was an initial overreaction along the lines you claim, it was corrected rather quickly from within the media landscape. I would say that it took a while for the media to figure out how to talk about the challenges without giving any credence to xenophobia.
That shows a fundamentally healthy media landscape to me. After all you are able to cite two absolute mainstream papers, one conservative, one centre left to argue for your critique.
And while that critique is valid, I still wonder what exactly you are talking about. It's not like something utterly terrible happened in 2015.
The FAZ article explicitly also mentioned that there was a real worry about right wing violence and extremism in the wake of the refugees arrival. That's not media propaganda. Refugees have been overwhelmingly the victims, not the perpetrators of violence.
If you remember, that is what Dunkeldeutschland in Gaucks speech explicitly referred to: Violence against refugees. If you look at 2015, and the media reaction, without the context of Solingen and NSU, you are missing the context of the debate.
This could have been way worse. And my guess is that if Germany had a strong Fox News or Daily Mail it probably would have been.
Since you mention the left Die Zeit: it's chief editor criticized the media for its news coverage during that time: http://www.faz.net/aktuell/feuilleton/medien/bilanz-der-beri.... There have also been studies about the role of the media in 2015: http://www.zeit.de/2017/30/fluechtlinge-medien-berichterstat.... Photographers complained about the selection of their pictures in 2015: http://derstandard.at/2000066973507/Politikerfotos-Propagand....
It's fine to disagree with me, but calling my critique a "complete myth" is quite unfair.