A lot of people have faith in Huang Hua, especially compared to Miiko. In general, I think Huang Hua deserves it. She’s mature, thoughtful, and sensitive to others’ feelings. However, it could be a double-edged sword.
When Miiko made mistakes, there was no doubt she was wrong in-universe or out. With Huang Hua, people have already made the point that they think her empath powers make her especially trustworthy. Chrome says something like, “She saw it in his [Lance’s] mind. Do you think she would lie?” (They also rush to defend her decisions, usually with that same point—do you think she would lie?) To Karuto you have the option to say, “It’s true that trusting Huang Hua is always the most reasonable choice.” Then, nearly everyone says, “I have faith in her [Huang Hua],” at some point.
Additionally, even though most people weren’t/aren’t happy about Lance being free, I’m not sure if they put up a big fight against his freedom. It sounds like Huang Hua said he regretted his actions and they needed him, so everyone shut their mouths and made it work. They trusted Huang Hua and her forgiveness policy (which we don’t know yet what precisely that even means) more than their own judgements.
It’s understandable that people hold her in such high esteem, but from what I’ve seen so far, people might accidently confuse Huang Hua’s high esteem and abilities with the idea that she can’t be wrong. This is a problem, because one, nobody’s perfect, and two, even if she doesn’t have a nefarious secret plan, she still has her own subjective perspective and biases which could color her “readings” of people (she could “see” what she wants or expects to see and miss the truth).
In fact, her powers themselves aren’t flawless. She either didn’t comment on or didn’t recognize the disgust Leiftan had for her when they first met, and she wasn’t able to see that Leiftan was the daemon they were looking for (her abilities are vulnerable to shielding magics). She also couldn’t recognize Erika’s spirit in episode 26 or Ashkore as Lance in Balenvia (her abilities are not as specific or powerful as we are led to believe). Her powers probably only give her an impression and nothing more.
Also, as @desperatesentence pointed out in their Eldarya: A new Era of plot holes post, Chrome outright mislabels Huang Hua’s abilities and ascribes more power to them. (He calls them mind-reading powers, which implies she can do more than just read peoples’ emotions. It also implies that Chrome doesn’t understand her powers very well, either by his own ignorance or because she misled him. How many people in the Guard are like him?)
For these reasons, I think that when she makes a mistake, she won’t be unambiguously wrong in-universe. It’s not necessarily a bad thing story-wise if it’s handled well, but it would be really frustrating for us. We’ve already seen hints in NE of her inability to be wrong when she neglected to warn Erika about Lance. If you confront her respectfully instead of rudely, later, she still expects you to apologize for the confrontation (her LOM goes down if you don’t). She seems to even view herself as someone nearly infallible.
