user gets this error;
Error from AD001\SQL001
Msg 208, Level 16, State 1, Line 1
Invalid object name 'dbo.schJOB_RUN_LOG'.
No, the cluster environment does not require the database name in a query, it is more a function of what database is selected as the default database in the application you use to make the query, or what database is set as default for the user.
If the default database is set to master for the user, then the query will fail unless you include the database name in the query
See screenshot;
