Well when it concerns their own citizens, this bizarre notion comes at least from the USA who even threaten judges working at the International Court of Justice, and their families... So maybe sometimes the emotions about "evil" USA are not completely irrational.
Should we extradite Americans living in America to China if they mock Xi or dishonor Chinese heroes?
However, in this scenario, depending on your importance/visibility, you should absolutely read up on extradition treaties when visiting China-friendly nations.
Any American who visibly supported the Hong Kong pro-democracy protests should definitely think twice about ever visiting China and (again depending on visibility/importance) any friendly nations with extradition treaties and the numerous countries around the world without rule of law.
People often have irrational emotions about teh evil Amerika, so forget them. Say you're an Argentinian in Argentina and commit a ransomware attack against an Irish bank, but somehow give yourself away. Do you not expect trouble upon landing in a country with which they have an extradition treaty, merely because your crime was committed from Buenos Aires?