Is the relationship between Tatars and Waci people in Ming Dynasty the same nation?

Wala, called Ivorati in Yuan Dynasty, called Wala (w?là/w?lā) in Ming Dynasty, called Willa in Qing Dynasty, and Moss Mongolia.

Tatar, the name of Tatar, began in the Tang Dynasty. However, the word Tatar appeared in the Northern and Southern Dynasties, when it originated from the soft alias "Da Tan" and "Tan Tan". The Northern Qi and Sui Dynasties knew the Tatars through Shiwei. There are nine Tatars to the west of Yinshan Mountain and thirty Tatars in Hulunbeier. People think they are weak and redundant.

The Tatars rose before the Mongols. After the rule of the Khitan people in Liao Dynasty and the Jurchen people in Jin Dynasty, most of the Tatars merged into the forming Mongols and became one of the main sources of the Mongolian nation. In ancient times, Jiu Tatar Department (Tatar Department) was a multi-ethnic tribal group, including both Turkic tribes and Mongolian tribes. Turkic-speaking Tatars have two routes to the west, one is the Volga River basin, and the other is the Yenisei River basin. The Tatars who moved to the Volga River basin combined with the Khincha people who used to speak Turkic and the Volga Bulgarians to form the Tatars of Kazan today, while the Tatars who stayed in Yenisei River merged with the Altai people and Hakkas in the area to form the Tatars of Siberia-Yenisei River. After being conquered by Genghis Khan, the Tatars moved to Russia, and the migration time was about the end of the Southern Song Dynasty in China. Tatars in a broad sense include Shi Wei, Lin Zhongren and Wang Jiabu.