Hi. NS for the domain name/subdomain is not set to ZoneEdit name servers. Where (URL, lookup?) do you get error you're reporting about "name server does not allow zone transfers"?
dig +trace laiti.iki.fi NS
; <<>> DiG 9.10.3-P4-Debian <<>> +trace laiti.iki.fi NS
;; global options: +cmd
. 518400 IN NS C.ROOT-SERVERS.NET.
. 518400 IN NS K.ROOT-SERVERS.NET.
. 518400 IN NS J.ROOT-SERVERS.NET.
. 518400 IN NS F.ROOT-SERVERS.NET.
. 518400 IN NS M.ROOT-SERVERS.NET.
. 518400 IN NS G.ROOT-SERVERS.NET.
. 518400 IN NS E.ROOT-SERVERS.NET.
. 518400 IN NS I.ROOT-SERVERS.NET.
. 518400 IN NS A.ROOT-SERVERS.NET.
. 518400 IN NS H.ROOT-SERVERS.NET.
. 518400 IN NS B.ROOT-SERVERS.NET.
. 518400 IN NS L.ROOT-SERVERS.NET.
. 518400 IN NS D.ROOT-SERVERS.NET.
;; Received 853 bytes from 64.68.199.53#53(64.68.199.53) in 2 ms
fi. 172800 IN NS c.fi.
fi. 172800 IN NS b.fi.
fi. 172800 IN NS f.fi.
fi. 172800 IN NS h.fi.
fi. 172800 IN NS d.fi.
fi. 172800 IN NS g.fi.
fi. 172800 IN NS i.fi.
fi. 172800 IN NS j.fi.
fi. 172800 IN NS a.fi.
fi. 172800 IN NS e.fi.
fi. 86400 IN DS 44855 8 2 80CD184A31C50D5DC44B4F98811F298315986B44EDCC0666455C6AEF 7DBD997E
fi. 86400 IN RRSIG DS 8 1 86400 20210607170000 20210525160000 14631 . H4T6SEfr5InrT4Z/ytD69HzI2Qc4Hl/LykrwC6YQjE4JFgq9ugmkwRHJ UwKPAr95KotgBYuLnBVOveGamsJG2Ehvixue1IFB9ayKXCK73fOLdQ+v btdD2zDXiPZCA0c2O5cfAKrmYx4Y45uhUD/3TQNxWuPxmPezgl21VxaZ qpBTxvh8kVUiosMOEH40XRgV9BB0tcya1938Af0ZNaQniTtvvPNk6fBx 652NhZMZWxICyqIlL1FDKbgnFDnqZIek3rH2ek/UwOcIchB5WvtHeeTm +IctjRJo6Gt4xbW1hoo4RbrerKXigkv+k+oXwmUHy2j/5FHVYB+jyXf/ z8/BDg==
;; Received 976 bytes from 192.33.4.12#53(C.ROOT-SERVERS.NET) in 15 ms
iki.fi. 21600 IN NS ns.iki.fi.
iki.fi. 21600 IN NS ns2.iki.fi.
iki.fi. 21600 IN NS ns3.iki.fi.
iki.fi. 21600 IN NS ns1.z.fi.
iki.fi. 21600 IN NS ns2.z.fi.
iki.fi. 21600 IN DS 5119 13 2 C063F65E1735E6465A924C3E312EA064146461D22EB93847F9109D35 D40461C6
iki.fi. 21600 IN RRSIG DS 8 2 21600 20210606074851 20210523150623 37335 fi. uxAZKpyBvE5p3XcCMqkGXcjavtPM1woZ97hCBJM9f5ixWEBpvUSFGFpX iobLJjjSgwuxkK/MUmRVs8GPSRN7MQJ8AQNxLkdaqP/0DSsf+jYb+WN4 QVRnh2/6pulsEbLm0Nh4mNU+rU8Sjo+U/Qb8H6QTlCxqoTR+MIyRQB6+ WgWoTRret/MFK7qW1TXxFdQR1YNL4Q4Sh/saNjYq58/3XtEGgmq/xAOM Xd3Gz/HlzAHs8u9RHGNvdGBm0Usgmq00qnCWEx+vKO/yuZsQIR1OSIKX 8nQdW9ioGU7PheQq0Mr78uakVyeDNhge/WR5uGATVSzOO841Dc+DbkNN M2j3uA==
;; Received 1850 bytes from 87.239.127.198#53(f.fi) in 117 ms
iki.fi. 3600 IN SOA ns.iki.fi. hostmaster.iki.fi. 1621963334 28800 7200 604800 3600
iki.fi. 3600 IN RRSIG SOA 13 2 3600 20210624162546 20210525162546 13690 iki.fi. G6fcbOW6aNI12NOgGsgZUR/xmCx6bqjTjz/t0fkbmdsO5gYB1jfMxwQb P2zn1r2/CfpYpvVydvb4bBW6axIR1w==
iki.fi. 3600 IN NSEC lahtoruutu._domainkey.iki.fi. A NS SOA HINFO MX TXT AAAA NAPTR RRSIG NSEC DNSKEY
iki.fi. 3600 IN RRSIG NSEC 13 2 3600 20210624162546 20210525162546 13690 iki.fi. 8SHeBIZuuhJgau5p4I6OLwyfgReThs5VauCCUKmwQH29a6G36iodsjAU TXkuminmU8+XlXo8wXxiBuQqLW8CnQ==
www.laite.iki.fi. 3600 IN NSEC lakki.iki.fi. CNAME RRSIG NSEC
www.laite.iki.fi. 3600 IN RRSIG NSEC 13 4 3600 20210624162546 20210525162546 13690 iki.fi. sNk2vpOjp2FZTpTYL6JfgTKbbZPYD/uOc1JyMkP6H5budMHyU7l0Ewqd K1buF7kHA7W6qMXXBDHMDFIKXtBFUQ==
;; Received 492 bytes from 185.185.170.42#53(ns.iki.fi) in 105 ms