Hi Wong, Joey •,
Welcome to Microsoft Q&A forum.
As I understand, you want to know if the consistency level in Cosmos DB is set to "Session," does it fall back to one of these three options (strong/bounded stateless/consistent prefix), or does it exhibit different behavior in Mongo DB (Azure Cosmos DB).
The default consistency model for Azure Cosmos DB is Session.
Session is a client-centric consistency model which is not natively supported by either Cassandra or MongoDB.
For more information on which consistency model to choose see, Consistency levels in Azure Cosmos DB
Let me know if your ask is different to what we understood.
Thanks