Starlink will be a LEO (low earth orbit) satellite network. Satellites travel at much lower altitudes resulting in much lower latencies (I think easily below 50ms was what I read before).
And, in practice, the latency will actually be better than fibre. So instead of a 240msec ping to the US from NZ, it'd be closer to the theoretical minimum of 25msec, but by how much, who knows? I could see a realistic 50-80msec perhaps.