Seriously, having multiple citizenships is an insurance play that we would (and should) participate in if we can. As long as Thiel is not lobbying the US Government to enforce a single-citizenship rule like Germany and some other European nations employ or asking NZ to stop issuing dual-citizenship to Americans, I don't see the problem.

As a side note, New Zealand has the best immigration site I've ever seen:

https://www.newzealandnow.govt.nz/