I couldn't see Cork-Amsterdam-Izmir being operated by KLM.
It would presumably be a charter route and it wouldn't seem to suit their business plan. If there was a KLM involvement, it would more likely be through Transavia.
Even then, if chartering, it would seem more sensible to operate with an airline like SunExpress or Onur Air.
I'd also have some reservations about the route. Charters that link two source airports to a destination are usually used when neither source airport could provide enough passengers for a route in their own right. There's enough demand for Amsterdam-Turkey flights that there would be no need to share traffic with Cork.
As a final thought, is the restriction that Ireland-Turkey charters have to be operated by an Irish or Turkish carrier still in place?