Apex domains cannot have CNAME records.
Question and response
Question
dig nameserverservice.com. NS
Answer
nameserverservice.com. 5 NS ns1.nameserverservice.com.
nameserverservice.com. 5 NS ns2.nameserverservice.com.
Authority
The response has no authority records.
Additional
ns1.nameserverservice.com. 5 A 69.64.44.52
ns2.nameserverservice.com. 5 A 69.64.44.54
. 0 OPT ; payload 1232, xrcode 0, version 0, flags 0