Sometimes the database name is created without the needed information.
When the customer starts to use it, we can't change the db name.
So the search is hard.
But we could use the DataBase comment - if it is visible in the Treeview somehow.
A hint (when I moved to the DB name), or a bottom DB info, etc.
Otherwise that would be great if you create a bottom info bar in the left Treeview.
This would contain the actual (selected) database. When we are in the scheme list with 1000 tables we easily make mistakes because we don't see the actual DB name.
The next column would be the DB comment. Or just a button to see the DB comment which holds more info about the DB.