I thought perhaps hen hadn't quite digested what it would mean for only a small class of elites to be in the pool that gets picked from.
By excluding over 3/4 of the population, we would hardly get what we think of as democracy.
With those exclusions, the power of being a citizen would increase dramatically and the lottery would make it unlikely bands of eligible citizens would unite to expand the electorate but instead would seek to make membership more stringent, like DPRK's haeksim.
Choice by lottery would also fail to exclude men who have no desire or capacity to do whatever job it is they pulled. I do not know what they did in ancient Greece but in modern times that would lead to a bureaucratic class with the leader being only a figurehead at their mercy--and at times that would be very good. But the bureaucrats class would not be the voice of the people, would not be democratic.
I felt this was obvious from the exclusions and so didn't see the need to elaborate.
