Not buying it.
Caesar was 55 when he died. But he was murdered (et tu, Brute? yada yada).
The human lifespan is genetically determined (until we fix it). The best modern medicine can do is to prevent early exit.
Anisazi ate corn ground by stones into a mash. They would also eat bits of stone ground into the corn, which would wear down their teeth. By their 30s, their teeth were ground away to the jawline, which lead to them getting tooth infections easily. Many of them died from tooth infections.