There does not seem to be an easy answer for which political system delivers the best benefits.

Direct democracy has defects that have been apparent for thousands of years. I believe Plato was one of the first to argue that democracy turned into mob rule.[0] It seems unlikely that this was entirely original. Similar ideas must have been current in Athens well before his time, since they had abundant experience with demagogues and other problems during the Peloponnesian War. I don't think Plato's solution (Philosopher Kings) was correct, but it's harder to argue against his framing.

It therefore seems like a question of which approach is less bad up front and whether it decays into something worse. Personally I would satisfied with a functioning republic in the US, which is where I live. What we have now is an oligarchy.

[0] https://en.wikipedia.org/wiki/Plato%27s_political_philosophy