Covid-19 doesn't kill rapidly, so there is no pressure for it to mutate to become milder.
What appears to have happened with Omicron is that it has mutated in a way that increases transmission at the expense of lethality:
https://www.med.hku.hk/en/news/press/20211215-omicron-sars-c...
That depends on whether the mutations that cause it to replicate better also make it more virulent. The symptoms that help spread Ebola, for example, are the same symptoms that kill those who become infected with it.