Wow. First reason he gave was for pushing the adjacent string out of the way when doing bends. But his action is even higher than mine used to be, in that adjacent string is even being raised a bit when he does it. I've also had trouble with that string ringing out when releasing the bend, especially if you're pushing it upwards a bit.
One other reason I would give in favor of higher action, is you don't have to be as precise when lifting a finger off an adjacent string, when changing to a different string during a riff, to stop that string from ringing (at all.) With high gain tones, it becomes even more important to mute that other string immediately, and I do find that more difficult with lower action. Sometimes I find myself lifting my finger off the string.
Practicing a lighter touch helps, imo, for that issue, and, the 2 reasons he gave that would basically be a result of string buzz.
Overall, with the benefit, imo, of the lower action allowing for less work of your fretting hand, I've found lower action to be an overall benefit, even if it means working a bit more on having that lighter touch. Seems like when it comes to guitar setup issues wrt your technique, there can be tradeoffs. I guess you just have to dial in your guitar's action to where it works the best for how you play.