I suppose it does depend on which definition one is using. The more academic definition puts them as contrasting with monarchies. With that, the DPRK and other autocracies world not be a republic, not due to a lack of democracy but due to a lack of representative-based government. “Representative” here meaning multiple individually who are ostensibly representing the public interest (frequently, this is someone that they fail to do).
What makes a republic democratic or not is HOW the representatives are appointed. In a theocratic republic, they could be appointed by the state church, for example.
I suppose it does depend on which definition one is using. The more academic definition puts them as contrasting with monarchies. With that, the DPRK and other autocracies world not be a republic, not due to a lack of democracy but due to a lack of representative-based government. “Representative” here meaning multiple individually who are ostensibly representing the public interest (frequently, this is someone that they fail to do).
What makes a republic democratic or not is HOW the representatives are appointed. In a theocratic republic, they could be appointed by the state church, for example.
The key factor is the supreme power the people exercise. No democracy, no supreme power of the people, no Republic.