Destiny is threatening to take action under ICANN’s dispute resolution service. They do not seem to realise that a .nz domain name is not subject to ICANN policy, so they are talking from a position of great ignorance.
Even if such policy did apply, I believe that its use as a criticism site is legitimate, and that there is no cofusion with the official Destiny site.
However the author is in breach of policy by having registered the domain name under an alias. That is a breach of .nz policies, and he should remedy it as soon as possible, in my opinion.
I wonder if Destiny has noticed this long standing parody site of them?