How near is near? With ~100 billion people having ever lived, the odds of a randomly selected life falling within the past couple of centuries are not all that high.
The distribution of human lives versus years lived by humans will skew earlier, because infant mortality was absurd for the first two tranches, with something like 50% of people dying before the age of five, so it will be more like 40-40-20 over those time periods.
before 8000 BCE: ~9.0 billion births, 8% 8000 BCE–1650 CE: ~85.4 billion, 73% after 1650: ~22.6 billion, 19%
Looks also different to OPs website