Apex domains cannot have CNAME records.
Question and response
Question
dig offsitenetwork.net. NS
Answer
offsitenetwork.net. 4 NS ns-532.awsdns-02.net.
offsitenetwork.net. 4 NS ns-271.awsdns-33.com.
offsitenetwork.net. 4 NS ns-2017.awsdns-60.co.uk.
offsitenetwork.net. 4 NS ns-1291.awsdns-33.org.
Authority
The response has no authority records.
Additional
. 0 OPT ; payload 1232, xrcode 0, version 0, flags 0