Cyprus is left out, as always...
https://travel.stackexchange.com/questions/51740/will-stayin...
My understanding is: if Cyprus becomes a part of Schengen, the Turkish-controlled airport becomes a port of entry into the Schengen zone. Maybe the southern side saying the northern part is not part of EU/Schengen would count as recognition of the Turkish rule...
imo schengen doesn't matter for Cyprus. On the contrary it will make Cyprus even more attractive to financial refugees who will use it's geographic location as a stepping stone to the rest of EU. That means a lot more cost for the government to house people until their refugee status applications are processed.