That does not conflict with being unbiased towards evidence that our immune systems are effective against covid.
When you say "our", who do you mean? 30yo with no underlying health conditions? A leukemia patient? An HIV-positive person? A 50yo diabetic? 40% of the adult obese Americans?
Yes, healthy immune system can be effective at fighting covid. But vaccination is a matter of public health. You aim to eradicate the disease so that everyone is safe.
Edit: most bubonic plague infections didn’t kill so I don’t know what the point of “most people survive” is. The problem is that some don’t.