I think you're focusing a little too strongly on the wording, when I think he was just trying to carry across an idea. Yes, obviously a defenseman should know what to do positionally, should be adept at reading and adjusting, good stick, all that...but his mindset should always be transition. If youre focused on jamming the puck on the boards and hoping to gain possession...if you have a corps of players with that mentality, you'll get killed.
The way it relates to Weber is that if you have a top 6 full of Weber-esque players, stylistically, your thought may be, "man, what a punishing unit to play against, they will give no quarter whatsoever," but the end result is going to be more time spent in the defensive zone and less quick transition attacking.
For what it's worth, Erik Karlsson is, IMO, not the best pure "defenseman" in the league, but he is the most valuable. Purists get frustrated and see it as a reduction of the game, but it's just looking at the types of plays that lead to success -- in the form of more goals for, less against, and by translation more wins.