When you say 'their' do you mean your ISP?
No, I meant them.
After the packets hopped from 148.72.204.1, notice how the next hops are all 10.242.0.'some-number' until finally reaching the shared server at 166.62.6.79.
These ip addresses starting with 10. are ip addresses that are meant to only be used inside your network and un-routable on the internet (www). We drop all these packets by default on our internet firewalls.
There are other common IP addresses that are also un-routable, most commonly known starts with 176. and 192.
Ian is right with these guys using external BGP, it is detected as the uniquely assigned number being 26496. This webpage shows Godaddy has direct connectivity with Telstra
https://bgpview.io/asn/26496#peers-v4It would be a wild guess towards what they are using for IGP... don't want to know either.
For some reason, the Linux tool I use to check on them traces the path to the shared server and reports on all the hops taken to reach it.
The connectivity is good for me at the moment and sure hope it doesn't turn into another yoyo again.