Question:

Is it expected behavior to have both Staged and Approved Emails for CRM Approved Documents in an Org?

Answer:

Out-of-the-Box Approved Email pushes both Staged and Approved Documents into a CRM ORG.  Only Approved Email Administrators are able to see the Staged Approved Documents.  If using a Custom Field in Vault and the WHERE clause is in the Approved Email Administration tab, the desired Approved Documents may be filtered out.

Related Documentation:

CRM Help Documentation: Approved Email Overview