When I went on about June 20th in a very heavy snow year, after getting up the Chute, the trail from Trail Crest to the summit was mostly clear of snow. However there were a number of patches of snow and ice that would be 100-200 feet long or so with fairly steep drops off the side. Not wanting to put crampons back on and off for every patch, we did these sections without any kind of traction which felt a bit sketchy, especially when you are already a little lightheaded from the altitude. Mabey those are what someone was calling "Narrows".
