Just watched the how to video on how to pour a proper pint from “How-to’s & FAQ’s”, without sound though. Probably best because of some of the comments that were posted. I always thought you poured from a bottle, can, or growler. If you are dispensing from a tap or beer engine you are drawing a beer, or at the least dispensing a beer.
So, you’re confused about the pedantics of whether its a “pour” or a “draw?” The parlance of our times dictates which words make sense, language changes with the user.