I was going to reply about how New Zealand is as far from almost everywhere else as the US, but I found out something way more interesting: Other than servers in Australia and New Zealand itself, the closest ones actually are in the US, just 3,000km north in American Samoa. Basically right next door. (I need to go back to work before my boss walks by and sees me screwing around on Google Maps, but I'm pretty sure the next closest are in French Polynesia.)
Well that's the experience I had. Obviously caching was enabled (unbound), but most DNS keepalive times are so short as to be fairly useless for a single user.
Even if a root server wasn't in the US, it will still be pretty slow for me. Europe is far worse. Most of Asia has bad paths to me, except for Japan and Singapore which are marginally better than the US. Maybe Aus has one...?
