I was discussing the idea of a corporation as a republic to invite comparison to say, national governments. Often both are republics, with constitutions, a currency, debts, and the larger they are, often the more levels of bureaucracy that follow. That you say corporations can be authoritarian like national governments supports what I'm trying to express. Keeping in mind that republics can be authoritarian, disputing what I'm saying with saying they're more a dictatorship (unelected) is simply incorrect.
A republic is a government where people vote - even if a limited amount of people are allowed to vote. If everybody were allowed to vote, it would be a democracy.