The Nammatj will be easiest to pitch in bad weather, being out first or simultaneous. Hillies are also designed to be easy to put up on your own with impared dexterity (eg, mittens, cold hands, whatever). My Soulo is dead simple to put up even in atrocious weather, but it isn't the most roomy tent ever devised. You presumably run the risk of being tent-bound for a period of time for weather reasons; you don't want to be slotted into the smallest space possible if that happens.
The Lightwave has the advantage that it has a huge porch into which you could stick all manner of stuff. It also has 3 poles on the accomodation section, so it'll be slightly sturdier under some circumstances than the Nammatj which even in its GT form only has 2 there, so it'll suffer a little more from flapping or snow loading. Inner pitch first though, so it loses to the Nammatj there, but on the flip side an inner-first tent is often less flappy than an outer-first one.
The Crux will be really sturdy under strong winds, and it'll flap a whole lot less. It'll be harder to pitch or strike in bad weather though, especially on your own. I also suspect that geodesics are easier to damage when pitching or striking in bad weather, which may be a more serious concern. Tunnels also tend to withstand really nasty weather well by flexing and compressing and a geodesic is less able to do that without failing... feel free to file that little factoid under FUD though!
In terms of size, the Lightwave appears to have a substantially bigger acccomodation section... 150cm wide, vs 130 for the Nammatj and 120 for the Crux, and 120cm high vs 100cm fr the Crux and 95cm for the Nammatj. How accurate or even relevant those figures are the in real world, I don't know. But if you're going to be stuck for a while, or you brought a friend, or you needed to provide emergency accomodation, that extra space might be well worth it...
Edited: 19/10/2011 at 11:28