When you say DNS-E/DNS e better give some examples or link as I admit I have not seen this technology as there are so many things in the IT world, you can't keep up with everything, so giving context is important.
Why don't you just use F5 DNS Express that is DNS zone transfers and just block with firewall rules/access lists on a network device/firewall (you can use ip tables on the server but better block traffic before it reaches the DNS server) any DNS/AXFR/IXFR connections to the real DNS server that is not comming from F5 GTM/DNS self-ip?
https://clouddocs.f5.com/training/community/dns/html/class2/module3/module3.html
About GSLB and DNS Express and Zone runner the F5 will always try to first use the GSLB wide ip for DNS resolution and if it does not have any matching wide ip then DNS Express then Zone Runner, so the features will work together:
https://support.f5.com/csp/article/K63042196
https://community.f5.com/t5/technical-articles/lightboard-lessons-f5-dns-order-of-operations/ta-p/288562
https://support.f5.com/csp/article/K14510