> What time of year is "usually" better for snow consolidation?
Any time there has been a period of no new snow and a warming trend -- enough warming to achieve some surface melting. That would cause the snow to consolidate. The more consolidation, the better, to the point you can just walk on the surface without sinking in, or worst, postholing to the bottom.
Unfortunately, conditions vary from slope to slope -- south-facing get more sun and consolidate quicker. North-facing may never consolidate well. And of course areas shaded by trees won't consolidate until warmer weather.
Most people go up the Mountaineers Route in the spring, since heading up the trail and walking those 11 miles in unpleasant snow conditions makes the trip almost impossible, while the shorter, steeper, more direct MR gives hikers more "bang for the buck", in that they don't need to break trail for as great a distance.
From late winter on, more and more people head up the MR as the months pass. The optimal time is maybe March or April, when people can hike over the top of the snow, but BEFORE the runoff in the stream undercuts the snowpack to the point there is a danger of breaking through the snowpack and falling through to the stream.