An independent Kurdistan was actually planned for and provisions to bring it into existence were included in the Treaty of Sèvres. So while the Treaty did not immediately create an independent Kurdistan, it did provide a relatively straight forward path for Kurdistan to become independent.

Article 63 of the Treaty gave the Kurds autonomy within the Ottoman Empire. Then Article 64 prescribes when and how the Kurds could apply (to the League of Nations) for full independence.

In brief, if the Kurds could show the majority of the population in Kurdistan wanted independence, and the council of allied nations (sitting in Constantinople) considered they were "ready" for it, Turkey had to accept the independence of Kurdistan and renounce all claims to that area.

However, the successes of Mustafa Kemal Atatürk's newly organised Turkish republic meant that the Turks were able to take control of the area earmarked as being Kurdistan.

The western allies were not interested in another war with Turkey, and the Treaty of Sèvres was abandoned in favour of the new Treaty of Lausanne which set the new borders of Turkey, without any Kurdish state.