There have been "modern" human beings (homo sapiens sapiens) for at least several tens of thousands of years. Even accounting for the fact that human population today is much bigger than it's historical median level, you would expect that if 94% death rate was anywhere near accurate (and assuming a power law distribution of age), you would have no trouble to find a few people that are 200-300 years old. I don't feel the need to calculate the actual numbers, but I suspect that it would be plausible to believe there was at least one "millenial" (someone older than 1,000 years) alive today.
Instead, what embryology tells us is that the power of life and the power of death are not opposite to each other, but deeply entangled. Your body is what it is in equal parts by the fact that many of your cells reproduced themselves and specialized, but many more committed suicide so that the whole organ could live and thrive. And if you stop cellular death, you don't get immortality, you get cancer.
