Since Codd's paper showed that the relational model dominates other approaches (for data storage) I would expect a paper that shows categorical database are not affected by this and what benefit they have.
My (amateur) take. CDB model (based on functions) has three advantages over RDB model (based on relations):
1. Easier modelling sum types (inheritance) due to duality.
2. Better handling of null due to labelled null.
3. Better foundation of elementary types (they're just another table ids). (Column stores often do that already, if your question is about storage.)
My (amateur) take. CDB model (based on functions) has three advantages over RDB model (based on relations):
1. Easier modelling sum types (inheritance) due to duality.
2. Better handling of null due to labelled null.
3. Better foundation of elementary types (they're just another table ids). (Column stores often do that already, if your question is about storage.)