Apex domains cannot have CNAME records.
Question and response
Question
dig vargonen.net. NS
Answer
vargonen.net. 5 NS brit.ns.cloudflare.com.
vargonen.net. 5 NS guy.ns.cloudflare.com.
Authority
The response has no authority records.
Additional
guy.ns.cloudflare.com. 4 A 108.162.193.173
guy.ns.cloudflare.com. 4 A 172.64.33.173
guy.ns.cloudflare.com. 4 A 173.245.59.173
brit.ns.cloudflare.com. 4 A 108.162.192.78
brit.ns.cloudflare.com. 4 A 172.64.32.78
brit.ns.cloudflare.com. 4 A 173.245.58.78
guy.ns.cloudflare.com. 4 AAAA 2606:4700:58:0:0:0:adf5:3bad
guy.ns.cloudflare.com. 4 AAAA 2803:f800:50:0:0:0:6ca2:c1ad
guy.ns.cloudflare.com. 4 AAAA 2a06:98c1:50:0:0:0:ac40:21ad
brit.ns.cloudflare.com. 4 AAAA 2606:4700:50:0:0:0:adf5:3a4e
brit.ns.cloudflare.com. 4 AAAA 2803:f800:50:0:0:0:6ca2:c04e
brit.ns.cloudflare.com. 4 AAAA 2a06:98c1:50:0:0:0:ac40:204e
. 0 OPT ; payload 1232, xrcode 0, version 0, flags 0