That guy makes it complicated. I just grab the housing just before it goes in the holder at the hub, pull it out (set it to first gear beforehand), and maneuver it out of the slot. Then I just pull the cable around such that the gear change pulley swivels around at it pops out the slot (there is a plastic sector on the pulley that acts as a keeper, you have to watch for that). To re-install, I snap the cable anchor back into the slot and then carefully route the cable around the pulley, pull the housing back around, guide the cable back thru the slot in the holder and reset the housing back in the holder. No tools at all needed, aside for a wrench for the axle nuts.

The technique shown in the video is fine for the workstand in the shop, but in the field, I just use my quick and easy technique.