1. Hijack the HTTP/HTTPS server. For some IP ranges, this is completely infeasible. For example, hijacking a CloudFlare HTTP/HTTPS range would be almost impossible theoretically based on technical details that I won't go through listing.
2. Hijack the DNS server. Because there's a complete apathy towards DNS server security (as you are showing) this attack is very frequently overlooked. Which is exactly why in the cited incident attackers were capable of hijacking Amazon Route53 with ease. *DNSSEC solves this.*
If either 1 or 2 work, you have yourself a successful hijack of the site. Both need to be secure for you to prevent this.