Good idea
For reference - my flight for 2 June was cancelled on 7 April. I submitted an online request for a refund on 7 April. This request did cite the DOT rule.
The first reply I received from Air NZ, plus my further correspondence with Air NZ about the DOT rule (including Air NZ informing me about their apparent policy that only US citizens or people who purchased tickets in USA get refunded for cancelled flights to/from USA under DOT rule) has all occurred today - 16 April