It's a problem if you are annihilating the current local population to achieve this, i.e Yazidis who bore the brunt of an ISIS genocide. Secondly, Turkey also shoots refugees on the Syrian side of the border.
Fortress Europa is pretty inhumane though.
About 2 million Kurds fled into Turkey from Syria since the civil war started it may even be higher. During the first gulf war about 1.5 million Kurds fled to Turkey.
Literally millions of Kurds today are either refugees or descendants of Kurdish refugees in Turkey. Millions of Kurds have also intermarried with Turkish people within Turkey.
Just a few months ago 2000 kurds from the KRG were beaten at the polish border and the media promoted it as protecting borders portraying the kurds as savage middle easterners.
meanwhile Turkey took millions of kurds and in and treat kurds no different then anyone else, yet where is the respect and where is the gratitude?
kurds are only shown in a good light in western media provided they can be used to create trouble in the middle east, otherwise they see you as no different then how they see gypsies.