Do I need a Visa for domestic transfer from Qingdao, China to Shanghai, China?

Hi, here's a breakdown of my journey:

Seoul, South Korea -> Qingdao, China -> 2hour 20min wait -> Shanghai, China -> 2hr 10min wait -> UK, London

My only concern is that the 24-hour visa-free transit does not apply for domestic flights i.e. from China to China.

Any help would be greatly appreciated.