The WS-10 powers hundreds of frontline J-10s, J-11s, J-16s and J-20s. Plus there are more types of turbofans powering another stealth fighter, heavyweight transport and drones. The Chinese industry is already proven many times over.
The Kaveri has never powered anything that flew and is basically the only project in India. Why bring up India at all?
Pakistan as the first operator of both the F100-229 by Pratt and Whitney as well as the WS-10B, they will be the best parity to give Turkey as clear indication of the capabilities and limitations of Chinese engines and how they compare to the F100 engine.
The fact that Pakistan bought the J-10 should be an initial indication to Turkey that the WS-10B is a capable engine in the 30,000-32,000 lb. class.
Any indication the WS-10C (155 kn /35,000 lb.) will cleared for export when the WS-15 is ready for mass production. It could be very attractive for the TF-X program.