My understanding on this was that doctors local to Wuhan noticed a surprising and sudden uptick in pneumonia that did not respond to antibiotics. The Chinese government managed this badly[1]. Your timeline doesn't reflect how things happened at the time - there was a "slowly" (over two months?) growing problem in Wuhan that locals noticed and authorities suppressed.
[1] https://en.wikipedia.org/wiki/Li_Wenliang#Role_in_2019%E2%80...