In some instances, users are unable to view a parcel fabric feature template during an edit session, even after the privileges to select, update, delete, and insert features are granted. The feature data cannot be referenced.
This is a known issue: BUG-000084316.
This issue occurs when the database queried is unable to acquire the privilege information required to display a feature template. Datasets that are not owned by the user or given permissions to are filtered out when establishing a connection with the SDE geodatabase, which filters out private feature classes, causing the datasets to appear hidden.
Create a new feature class in the feature dataset, and register the feature class as versioned. For more information, refer to the following documentation, ArcMap Help: Modeling feature classes and ArcMap Help: Feature templates and the parcel fabric.