On the contrary I believe. If you really factor in social momentum a name and association with the city can carry, it may be neutral. Perhaps some intelligence

On the contrary I believe. If you really factor in social momentum a name and association with the city can carry, it may be neutral. Perhaps some intelligence in inheritable and you got your answer. But even over such long times wealth can be transfered. Don't know how many can trace back their lineage to the Medici, but it is entirely possible even with devastating wars rolling the dices anew.