Wu Zetian inherited the rule of the emperor?

It can be seen that Wu Zetian acceded to the throne after Zong Rui (Li Dan). If we only look at the chronology, Wu Zetian inherited the rule of Zong Rui (Li Dan). However, many people think that Zhongzong and Zong Rui were just puppets set by Wu Zetian. In fact, they had mastered the political power during the reign of Emperor Gaozong (Li Zhi), so they think that Wu Zetian actually inherited the rule of Emperor Gaozong (Li Zhi). As far as Wu Zetian's historical achievements and functions are concerned, her rule has played a connecting role (opening up the Yuan Dynasty and governing macro-Zhenguan), and her rule has a "Zhenguan legacy", that is to say, her reporting method and style are inherited from Emperor Taizong (Li Shimin).