Pakistan has very problematic relation with US and this affecting many strategies of the air force. I don't know because of this or not, but as a result, Pakistan puts J-10C against India's Rafale move. And Rafale is a counter force aircraft not only for Pakistan but also for Turkiye. You can find many similarities where the conditions of TR and Pakistan are close to each other. So basically, does China's opening of this system to Pakistan mean that it opens J10s to export, or is this just a special case for Pakistan? For a more detailed discussion, of course, it is necessary to know the answer to this question.
Are these fighters that Pakistan will acquire, especially about radar suite and long-range A-A (Pl-15s) missiles, exactly the same as the system used by China, or will they be exported in downgraded versions? To what extent does China have a clear policy on the use of different groups of ammunition in the systems it exports? Lastly, Is the maneuvering and close combat capabilities of the J-10C at -low altitude at low speed- as good as Rafale, or with which platforms can it be compared?
So, of course, I am making a one-sided opinion, without knowing China's policies in this area: However, recent J-10 cooperation between Pakistan and China can be key model in increasing the global influence of Chinese aviation.
As I write all this, I am equally aware of the technical difficulty (in terms of TAF) of this job. However, if certain conditions are met, you add an unknown X factor to the equation, which can be defined as the surprise factor.
Still, F-16s are the fastest and easiest way for Turkiye. However, it is not the only way. Turkiye is not after a final solution, policies and investments for national aviation are already underway. What is being sought is a stop-gap solution.