Tristan, that is commonly known as the West Couloir. It gets skied now and then. It comes up along the ridgeline that demarcates the north face.
I should add it splits the north and south summits and if one continues east it drops into one of the Memorial Couloirs (I think #2) as #1 would be to the south. Check out the arial view on Google Maps it shows the couloir quite well.
It's a really cool area. I've skied it a few times over the years under various conditions- sometimes good. The bushwack at the bottom can be hateful, leaving or trying to get back to the Tolcat crossing- but includes a cool waterfall. I probably wouldn't consider it for a climb or approach- as it's pretty mellow (mostly low 30's). But it's definitely beautiful in there. And there's football fields of presumed unexplored rock leading up to Guerts.
I've walked down a portion of that Couloir when we descended from doing West Slabs. Lots of stinging nettle. We weren't the first to do it, the down climbs (all easy on good rock) throughout the gully had tat at the top of them. Night descents or very inexperienced climbers probably. It was hot today. Hiked the trail and basked at the top with no shirt for a while. Hardly any snow to the top.