Let me answer that with first hand experience.
The bulk of rumours in China that is causing issues are the ones that claim some kind of emergency (impending landslide, new virus in certain type of meat). They prey on the "宁可信其有,不可信其无"mindset, which means "better to believe in something than not believing and suffer as a consequence". Like people will not eat chicken if there's a rumour about chicken being infected, because they will be guaranteed safe if they believe the rumour and don't eat it. That's just how average Chinese citizen thinks. Older generations don't bother to do fact checking.
On top of that, the rumours sometimes claim to be from an official source. Like it will start with "Latest news from the CCP", or "Breaking news from CCTV (national TV channel)". And people trust those sources so they are more likely to believe the rumour without verifying if the source is fake or genuine.
Bottom line is, Chinese people in general have higher degree of trust in government as compared to west. But they are less informed and easier to be tricked by rumours (more gullible), especially people with lower level of education.