The Shangrila 2 is the two pole design I have the most experience in during bad weather. I realize the struts and asymmetry of the SS2 might make it a poor comparison.
The steep ridge line of the SL2 shed snow well so long as it wasn't accompanied by strong wind, and the vaguely hexagonal design blunted the line of the long side panels which helped broadside wind resistance quite a bit (though you had to put a lot of tension on that one stake). The problem came during severe (30+ mph) and sustained winds, especially when accompanied by snow or heavier rain. Whichever end was into the wind would get tensioned heavily, eventually to the extent that the other pole would become a little less tensioned and want to move a little during gusts. On one windy, snowy night I had two failures where the lee pole fell over, with the other pole obviously following it shortly thereafter. After the first collapse I tried to retension everything heavily, but that only prolonged a repeat collapse.
These are pretty rare conditions, and realistically not a big concern for most, but that night was long and put me off two pole designs.
Continued use of the LBO over the last year has given me a great deal of faith in tipi-like designs to shed wind in a truly impressive fashion. The neutral pitch of the LBO is four sided, but it's easy to use all the bottom guy points to pull everything out into what amounts to a rough ellipse which gives wind very little to grab. This kind of design is not nearly as easy to pitch as a square or rectangular footprint, but offers significant advantages in really bad weather.
The center pole in a traditional mid or tipi will reduce the functional space for a lot of people, but it's by far the lightest way to achieve four season performance. The only thing comparable in my experience is a mountaineering wedge or tunnel tent, where you're looking at twice the weight for much less space, or comparable space for 3-4 times the weight.
I know for other correspondence that Roman is looking for a proper winter shelter, so these little details seem relevant.