No?

To me it is a difference, if a naturally mutated virus caused a global epidemic, than a lab made one.

They're not seen as equal in China. A virus leaking from a lab would be seen as a failure of the bureaucracy, and people would blame the authorities. If it came from a wet market, people would be more likely to blame the buyers and sellers, while the authorities would take much less of the blame.

Furthermore, within China, alternative conspiracy theories claiming that the virus came from the US were allowed to circulate. A significant number of people in China actually believe that theory.

Agree. Not sure about Internet commenters' fascination with pinpointing lab vs wet market. Both are bad looks for China.