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