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In Connect, there is a Table Details section of each page within Data sources, however it only shows the size for Files. It is not relevant for databases. Currently, database tables/views always show the size 0.0 bytes, which indicates the table is empty but it is not true.
Since it is not relevant, it should not be visible for DB objects at all. Instead, it would make sense to implement some basic statistics of the object like number of rows, number of columns etc.