Poverty and pressure to commit pension fraud were shown to be excellent indicators of reaching ages 100+ in a way that is the opposite of rational expectations'.

So people tend to “live longer” where there’s poverty, rewards for reaching old age (pensions) and poor record keeping (e.g. birth certificates). Fascinating coincidences!!

What would the phrase "infallibly flawed" mean? I can't quite make those two words make sense together. Are they just using infallibly to mean something like "definitely" or "undeniably"?