Not Danish so I don't know their laws, but in the US not encrypting the disk would be a violation of HIPAA. In-house courier would work but isn't necessary. FedEx at least, I am sure the others do too, provide services for transporting secure information. Though you have to make use of them, you don't just drop it off with the regular shipping as seems to have been done here.
How much effort is it to encrypt the contents first, virtually none. Items get dropped, go missing, etc. - given the importance of the data then they should have both encrypted (one-time pad, used a secure side-channel to pass the key at the point when it was required) and used a trusted delivery system.