401:"not authorized" seems exactly correct for status page saying "I know who you are, and what you want, but you can't have it because you chose to disable your account."
401 is only permitted if an Authorization header is missing or insufficient, and the server “MUST send a WWW-Authenticate header field containing at least one challenge applicable to the target resource” (https://www.rfc-editor.org/rfc/rfc9110#name-401-unauthorized). Presuming an account-specific status page endpoint, this cannot be satisfied; nothing the client can send will work, therefore it’s far more reasonably treated as a server error than a client error: the server has been instructed not to service these requests. “Service Unavailable” is clearly suitable. (Refusing the connection would also be reasonable, and have certain technical advantages for machine use.)