You can absolutely glorify the south in the civil war, and people do it. You can even do things that most consider abhorrent, you can glorify slavery if you want, speak positively about the assassination of Abraham Lincoln. You can glorify the assassination of any US president who was assassinated in fact. Some people won't like it, but you can do it and no state goons are going to come disappear you in the night. It is not illegal anywhere in the US.
Americans/Anglos are historically inept at governance and concluded that all governments are inept and evil.
Authoritarianism is government by absolute (or near absolute) control of a single body. North Korea, China, Russia being prime examples.
If de jure, than neither USA nor PRC are authoritarian because both have multiple political parties.
If de facto, than both USA and PRC or authoritarian. USA in particular is governed by an unelected establishment of NatSec/Finance/Oil elites; an oligarchy in the purest sense. Who elected Victoria Nuland and Jake Sullivan to orchestrate the Ukraine wedge?
i.e. more Americans per capita support the Confederacy than Chinese support Western separatist movements in China.
If you have been to both places, this should be obvious.
In parts of USA you are forbidden from glorifying the biggest separatist crisis, the Civil War. The US government actively destroys monuments to the separatist side of the civil war.
Please, get a broader perspective.