Yes. This is true (Vaccine inequity and hesitancy made the Omicron variant more likely, scientists say) but:

This is NOT the whole story here:

The problem becomes that 40% of Deer now carry the Covid Sars 2 Virus in the Pacific Northwest and countless other mammals now worldwide as well as Lions and Tigers in Zoos all over. So, even if you vaccinate EVERYONE on earth you are just going to get reinfected by animals including your pets anyway!