While working on reporting another bug, I stumbled upon another bug which involves the default "My Purchases Detail Template".
Instead of displaying the "Status Message" for the order, it has the Payment Address box for the customer there.
Note: If there is a "Status Message" present, the template looks normal and works correctly. So, it would seem that the "OK" status that is generated on successful orders needs to get placed in that template.
Screenshot attached. Could not show full order to preserve customer privacy.