Byzantine history is so important to understand the modern world. It gives us the context for the orthodox/west divide; it gives us an example of a economic and intellectual superpower needing to live with the realities of barbarian neighbors, and being destroyed! It shows us great statecraft lasting a thousand years. It even shows us why generals and senior civil servants were eunuchs and how the next best thing was…
Carrying that logic further, then, would it be better if public servants had no friends? If everyone anywhere but the lowest rung of the corporate ladder (from which one does not typically make hiring decisions) also had no family? For only the least (conventionally) successful to reproduce seems problematic.
Or rather, "carrying it to an extreme". But we don't have to carry it that far. Eliminating inherited positions is a huge and sufficient improvement. If you go all the way to "no family or friends at all", yeah, I'd agree the problematic aspects might outweigh the benefits.