Atsa lotta sloggin' thru deep snow in thick bush to get to where the goats might hang out. I don't know if you're a skier but an alpine ski touring set up with skins can be an efficient way to cover terrain in the snow vs snowshoes, especially on the way back, you can ski down....

. Not familiar at all with the area you hunted but seems like predominately alpine plateau kind of terrain, not many cliffs.
I've never hunted goat but was fortunate to spot a group on a backcountry ski touring trip quite a few years ago. They had climbed on to a gnarly cliff, well above tree line. Fairly certain they were aware of our presence coming up from the valley as the trail they made to get to the cliff was evident lower down. I suspect with their relatively short legs they avoid deep snow & travel mostly on rocky, scree type of terrain which I didn't see much of in your video.
Photos follow. February 2012 in the southeast corner of the province, Purcell Mountains northwest of Kimberley. The peak they're on is adjacent to Mt. Lindsay, well above 2,000 meters. Look closely at lower left in photo & you should be able to make out their trail in the snow.
Zoomed in, a member of our party had a much better camera than I.
Panoramic view of the terrain. Cliff the goats were on at left. We climbed up & to the right.Our gps track showing round trip from Boulder Hut to the col just below Mt. Lindsay summit. It was a long day.
Not sure there's a draw for that area since it's in or close to the Purcell Wilderness Conservancy. There's also a group that lives near Hwy 97 in the South Okanagan between Peachland & Summerland. Different climate/elevation vs the Purcells, but also sparsely treed with prominent cliff features.