Leaking 33 bits over time, especially a lifetime, is nearly impossible to avoid.
Although it's more difficult, it's also possible to be too "middle of the road": very few individuals are very close to the population average in all dimensions.
(Heinrich Böll's At the Bridge is a great short story; Böll had worked in a statistics department so he was probably well aware of the weakness in his protagonist's reasoning)
About the best I'd ask for is that custodes should ipsos be as correlatable as we all are: the amphiopticon?
Lagniappe: https://www.youtube.com/watch?v=HQ7skMnxly0