Since I'm not adverse to adding my 2 cents, my general rule of thumb when there is still snow is:
option 1 - SB impassable: take ice axe & crampons for the Chute. Know how to kick-step on the way up, and glissade using ice axe as tiller/self-arrest tool on way down. Since even people with (some) experience hike snow conditions occasionally, practice a little bit at the bottom of the Chute first. If glissading looks too slow/wet/slushy, then treat your hips/legs to some plunge stepping - the beer(s) & vitamin I will taste so much better @ the Portal.
option 2 - SB passable, but still snow/ice on parts of the trail: take micro-spikes & poles (add snow baskets).
My guess is that the SB will be fine. The photo above suggests you don't even need traction, but would be nice if you had something like micro-spikes. In no case would I leave poles behind. IMO, they are indispensable (even take them along with axe - collapse and put in pack).