Natural immunity doesn't exist when only 10% of the population has been infected. And, nobody knows how long it lasts.
Meaningful natural immunity probably requires at least 70% of the population to be infected, which means about another 210 million people need to get it. Current stats suggest mortality of somewhere around 0.5% (although delta may be nudging that higher), so that means another million people need to die before we even approach immunity.
By comparison, if we vaccinated 100% of the population, based on the current numbers we'd see about 7,400 deaths and severe reactions combined (anaphylaxis, myocarditis, pericarditis, GBS, thrombosis, or death). Only about 3,400 of those would be deaths. (Using delivery of vaccine to another 180M people, death/severe reaction rate of 0.0041% and death rate of 0.0019%, using numbers reported to the Vaccine Adverse Event Reporting System).
So, yes. I think sacrificing 3,400 people to get to immunity makes more sense than sacrificing a million to get to partial immunity. Especially when it probably happens faster using vaccination. Even if it means regular boosters, it's a better approach.