It sounds way less offensive to those who decry the original terminology’s problematic roots but still keeps its meaning intact.
For a distributed database there is also fragmentation/sharing though. In this case calling the nodes replicas is not accurate. I guess you would call these “shard” or “dsta” nodes.
You are right about the “slaves” not behaving, in fact they jump on the chance to become the “master” themselves once the current “master” goes down. Then there is the split-brain problem.
It’s really more like a worker boss relationship, but I would hesitate to call database nodes “workers” because this one is usually used for a processing engine like Spark.
A lot of distributed databases use the concept of quorum to prevent split-brain. Does that make them a kind of democracy?
Usually quorum is maintained by using odd numbering so that when one node fails the next sequential node assumes the role allowing quorum-election breaking any ties.