Once that point is made, the discouraging natural immunity argument can stop because hospitals can't overfill anymore.
However until that point can be made[0] I think the "don't encourage natural immunity" position will prevent the most deaths.
By the way, I also don't condone harassment of unvaccinated people or vaccination as a requirement for employment etc either. Those are separate issues to me.
[0]: I tried looking for it but CDC data is only sept 2021 and estimated only 146M infections https://www.cdc.gov/coronavirus/2019-ncov/cases-updates/burd...