Actually inside Chinese fans there are also concerns about the extra-high performance of the new rockets. Any new equipment must be achievable first. Setting a too high performance is not a good way to success.
99.9% of those fans do not have any direct knowledge of what is happening in Chinese space industry. Their only knowledge of China's bad performance such as CZ-5Y2's failure was because CASC told them. On the other hand, when CASC told them that China is making one of the best engine in the world, they somehow get the doubt that CASC can do it.
To these fans everything goes this way: China reports failure, this must be a proof of China incapable of doing advanced things, therefor they are concerned. On the other hand SpaceX reports "anomaly", this must be the proof of openness and confidence, therefor there is nothing to worry when Starship would put its promised payload to the orbit, no matter how many times it is delayed and capacity scaled down.