AES-XTS vs AES-CTR for Write Once Storage
Analyzing the risks and correctly setting the threat model is important when choosing the encryption schemes.

If the attacker is a passive attacker, that he can only read the hard disk while transmitted, as it pointed out in the comparison of the XTS vs CTR question, there is no benefit against for passive attacker.

When the attacker, however, is an active attacker you will need authentication. CTR and XTS modes are not authenticated encryption modes. In CTR mode, when the attacker modified a bit the ciphertext will turn into a valid plaintext. It is also possible in  XTS mode, a little harder to achieve. To mitigate, you can hash the whole disk and then apply a digital signature on it. The signature can be transmitted over another channel. 



You can see a discussion here Why not authenticate full-disk encryption? about integrating the authentication into a filesystem.