I saw the point of the video was to call out the annoying habit of correcting with pedantry, focusing on words instead of meaning, showing off how smart you are at the expense of meaningful communication -- the opposite of "yes, and". It's incredibly annoying to talk with people like that except if you like being a pedant back. So it has its place, but it undermines teamwork.
I see it as a property of nerds, which I say as a nerd myself with a PhD in physics. I still do it and feel the tug to, but I've worked hard to learn to listen and reflect with more empathy and generosity.