it is well established in the scientific literature that SARS-CoV-2 mutates at slower rates than the flu due to physical properties such as the presence of error correction proteins and the nature of their antigens, not because of some lack of vaccine pressure.RNA virus all have the potential to mutate like mad. How fast they mutate is governed by selection pressure. If more people vaccinate, the more they mutate. The use of flu shot causes influenza virus to mutate more rapidly to counter vaccination. Coronavirus did not mutate as quickly as influenza virus did because there was no vaccine for it because they are relatively mild compared to flu.
The average mutation rate of SARS-CoV-2 remains low and steady, and is much slower than other RNA viruses such as influenza viruses. Unlike coronaviruses, influenza viruses (which cause the flu) are prone to changes through processes called antigenic drift and antigenic shift.
Both viruses depend on a viral RNA polymerase to express their proteins, but only SARS-CoV-2 has a proofreading mechanism, which results in a low mutation rate compared to influenza.
The number of mutations depends not only on the individual mutation rate per virion, it also depends on total number of virions - the absolute case load. Thus by allowing COVID to run rampant, even the low mutation rate per virion becomes a high overall mutant appearance rate. It only takes 1 becoming more virulent to outcompete all other coronavirus variants and becoming dominant, as delta strain has proven.
Thus the only viable strategy is covid zero, and the Chinese government happens to agree.