I don't really see Kurapica either attempting or winning even if he did. To be honest only somebody politically oriented like the Rat would enjoy the position, in addition to generally nice, teacher like people who derive satisfaction from nurturing young people into pro hunters, or least keeping the organization running in order for those youths to have the opportunity (like Netero). In the end every single hunter is out there for only themselves. It's not any paramilitary organization. This voting alone proves it: They have to resort to extortion to boost the voting rate. Because not enough members give a shit, and even if they did, they would quickly grow bored.

I've said it before, but the chaiman's position is the worst due to all the responsibility in trying to maintain the public relations and the various privileges the members enjoy, yet since those benefits hardly come free of charge, he must somehow coax the willful members to do deeds for the countries and other factions. The ant arc proved this: We saw none of the obviously powerful Zodiacs around; Netero had to do everything by himself and with a few other members, some of whom were bloody kids. Because the members couldn't care less, unless they hold a personal interest. A jolly bunch to lead, for sure.