What does "the Emperor of Wei dictated the book" mean?

After hard work, the three countries have all struggled for their respective goals for half a century. Finally, Si Mazhao pacified Shu and surrendered Wu, ending the division and completing the unification. The past of the Three Kingdoms has become history, but later generations have views on the status of the Three Kingdoms. Before the Tang Dynasty, it was designated as "Wei Kou Shu Wu Emperor"; After the Tang Dynasty, it was designated as "Wei Wu at Shukou". Sun Wu has always been regarded as the "commander-in-chief", and the "emperor" is just hovering between Wei and Shu. So who should be the "emperor"?

According to "Wei Di", Cao Zhi is located in the Central Plains, with a stronger army than Mazhuang, developed economy, prosperous territory and less wars. It has the image of an empire, which was later unified by Sima Jia, so it should be called "Emperor". The theory of "Shu Emperor" regards Liu Bei as the emperor of the Han Dynasty and is bent on restoring the Han Dynasty. Both of these statements have their own reasons, but in my opinion, he is not an "emperor", just like Wu, he is a "coach".