Sorry for the late reply. If Kurdistan refers to the regions where Kurds live, the same region should be called, Arabistan, Turkistan, Greater Persia, Assyria and such. Cause that region is shared by many nations!
In the southeastern region of Turkey, Kurdish population is 50 percent of whole population. What are we going to do about the remaining 50 percent? Even if it is not used as an expression of free state Kurdistan, i think that usage is quite new when you compare with the namings of other regions in Anatolia and Middle east (thousands of years of origin). That is a totally new concept. Kurdish people existed on these lands for thousands of years, but along with other nations existence. That's what i mean.
When one of the leaders of their terrorist organization was captured, he gave confessed about the financial and weaponry help from many Western governments. (Also Russia, Iran, Syria and several more). Perhaps that is very unfamiliar to you, since no one has talked about it in your country. I think media does not cover such issues in Europe. It is estimated by Turkish Intelligence Service that there are terrorist camps in many countries of Europe. (I know that estimation does not justify the whole thing, but in Italy police made a raid to several camps, that's a solid example).
Another important question is, Are European governments, police and intelligence services are so weak and incapable of not locating these camps and fighting with them? Or is it free to hold camps for teaching of using heavy weapons through out Europe? What a nice democracy, you can do exactly what ever you want

Turkish Services can locate the camps in your countries, but your police cant, is that likely?
I dont think these are covered by your media. I dont think that is simple as " movement for a state of people who were suppressed". The question is how they got organized that well (with adequate finance, logistic support, and political support). And the last question is, why are they supported that much? Have you wondered? The same story that happened in Libya. These are busy days for the petroleum companies for the new sharing of oil sources.