I think the appropriate description is democratic republic. However names don’t mean much. Some of the most oppressive governments in the world claim to be democratic republics. As the saying goes, the proof is in the pudding.
We measure how democratic an election is based on what percent of the adult population votes and the effect the voting has on leadership and policy.
China claims to be a democratic republic. However, voting is so indirect and the choices on the ballot insure that the communist party will always control the government, their claim to be a democratic republic is a sham.