Extra: On the Location of Yamatai

It is said that if you follow the route to Yamatai as described in the so-called Records of the Three Kingdoms (Wei Zhi) account of the Wa people, you end up sinking into the ocean.
　　　　　　　　　　⬇️
However, considering the external situation of the Wei dynasty at the time, it would be desirable to have an ally in a position (east of Kuaiji and Dongye) that could keep an eye on the Wu dynasty and potentially catch them in a pincer attack.
　　　　　　　　　　＋
Furthermore, not to mention the merit of such an alliance, the fact that it was located far away also suited the interests and sentiments of one side in the internal conflicts of the Wei dynasty at the time (Sima Yi vs. Cao Shuang).
　　　　☝️　　　 💡　　　 ❗️

Could it be that the location of Yamatai was set based on the intentions of the power brokers in the Wei dynasty at the time?

　　　　　　　　　　↑
One could think that the distance was extended later to glorify the Sima clan, but considering that a gold seal was awarded at that time, perhaps it was timely?

※ Mystery writer Seicho Matsumoto, for instance, took the position that the distances were imaginary numbers and were also influenced by the theory of Yin and Yang and the Five Elements.
I feel like I saw a discussion about the positional relationship between the Records of the Three Kingdoms and Yamatai in a book by Yoshihiro Watanabe.