To see what scripts, reports, and other application artifacts will be in a published application, the best option is to examine the Application Files Related List in the application to be published. This will show all the application files that belong to the application, grouped by file type and scope. You can also filter, sort, or search the list to find specific files.
The following options are not the best ways to see what application artifacts will be in a published application:
Enter the name of the Application in the Global search field. This will perform a global text search on the instance and return any records that match the application name, which may include irrelevant or incomplete results.
Open the list of Update Sets for the instance. This will show all the update sets that have been created or imported on the instance, but not necessarily the ones that belong to the application to be published. Update sets are used to move customizations between instances, not to publish applications to the ServiceNow Store or Share.
Open the artifact records individually to verify the value in the Application field. This will require opening each record that may be part of the application and checking the Application field, which is tedious and error-prone. Reference: Publish an Application, Application Files

The Allow configuration Application Access option determines whether users can configure the application tables, such as adding or modifying fields, views, or indexes. The following is true for a table with the Allow configuration option selected:
Out of scope applications can create Business Rules for the table. This is true because the Allow configuration option grants access to the table configuration to any user who has the admin or personalize_dictionary role, regardless of the application scope. This means that users can create Business Rules, which are server-side scripts that run when a record is displayed, inserted, updated, or deleted, for the table from any application.
The following are not true for a table with the Allow configuration option selected:
Only the in scope application's scripts can create Business Rules for the table. This is false because the Allow configuration option does not restrict the creation of Business Rules to the in scope application, as explained above.
Any user with the application's user role can modify the application's scripts. This is false because the Allow configuration option does not grant access to the application scripts, such as client scripts or script includes, to any user who has the application's user role. To modify the application scripts, users need to have the admin role or the application's admin role.
Out of scope applications can add new tables to the scoped application. This is false because the Allow configuration option does not allow out of scope applications to add new tables to the scoped application. To add new tables to a scoped application, users need to have the admin role or the application's admin role and be in the application scope. Reference: Application Access, Business Rules