Delta variant was identified in India in December 2020. India began administering vaccines in January 2021. Vaccine refusal could not have played a role.
All of which contribute to our lack of herd immunity, or am I incorrect?
Towards your original point, only 15% of the world is vaccinated. Say even 5% extra could have been vaxed by now, a difference maybe but nowhere close to the order of magnitude difference required to drop mutation rate below multiple helpful ones per year