Apex domains cannot have CNAME records.
Question and response
Question
dig 1stdomains.net.nz. NS
Answer
1stdomains.net.nz. 2 NS ns1.net24.net.nz.
1stdomains.net.nz. 2 NS ns2.net24.net.nz.
Authority
The response has no authority records.
Additional
. 0 OPT ; payload 1232, xrcode 0, version 0, flags 0