So many "main routes" up there on different aspects. I have not been up there this year, but the North Faces of all those formations tend to hold moisture or even verglas, while the south-facing aspects tend to be dry slabs that hold snowpatches. I bet the Beckey Route is climbable, while the neighboring N Face of Concord is still wet and unpleasant. I bet the South Arete of SEWS is intermittent rock and snow, whereas the SW Couloir is filled-in and pleasant after a cold night.
The gullies should be completely snow-filled, and the snowpack is often well-consolidated with appreciable cornices this time of year.
That's my arm-chair guess...