Hi,
The template's message subject becomes both the email notification message subject and the name of the envelope.
If you download your envelope as a Single PDF the envelope's name should be the one that displays, however, if you download the envelope as separate PDFs (through a .ZIP file) the PDF's name will show the actual document name you included initially, and this cannot be automatically modified.
You might find the following information useful:
To download documents
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Best regards,
Rebeca | DocuSign Community Moderator