The reality is that this not only stops at the Turkish borders. Pro Erdogan media easily finds it message abroad through TV satellite channels for examples.
There was a study or survey here in Belgium that those channels are the only way a lot of the Turkish community receives their news and information. What we have seen after the coup was an extremely uprising in violence and threats (last month even a murder) between pro erdogan supporters and non supporters. And from all EU countries I think they voted the most pro-Erdogan.
And while its too easy to make a correlation between the two, I personally do think this has some influence at least. Media is a very powerful tool.