There was actually a Kurdistan planned after WW1. However, the Turkish War of Independence put an end to those plans, as the Turkish Republic reclaimed about a third of the land that the victors had intended to give to Kurdistan, and the plans were just scrapped completely rather than try to sustain a small landlocked polity with hostile neighbors.

Don't mind me asking why was it scrapped? Correct me if I am wrong but was Attaturk the head at the time?

He was the head of the government which replaced the one which negotiated the Treaty of Sevres. Effectively, once Ataturk caused the Treaty of Sevres to be scrapped, as a whole, Western interest in the notion of an independent Kurdistan faded. Much of that land Turkiye was unwilling to give up, plebiscite or no plebescite, and a major reason for Kurdistan, by the calculations of the Western powers, was to weaken Turkiye - something which the Turks were not particularly willing to accept once a treaty not-at-gunpoint was being negotiated.

The interests of the Kurdish people themselves, naturally, were ignored in these calculations. No friends but the mountains...

Is that not how Israel was founded? 70 plus years later and look how that's going. It is not at all simple to give land to a group of people.