Kind of an aside, here, but I still feel like it's worth mentioning.
It's kind of unfair to look at Girardi now, through the lens of the modern-day game. When he broke into the league there wasn't a ton of emphasis on things like puck possession, controlled zone exits and zone entries, etc. As I remember it, it was kind of like the pre-lockout NHL but with less clutching and grabbing. There was still a ton of trapping, lots of teams that emphasized shot blocking to a high degree. Not much mention of Corsi or Fenwick or anything; analytics were still in their infancy. Accordingly, the game Girardi played was valued, and actually lauded. He was a simple, meat-and-potatoes, block shots, pin you to the corner, chip-and-chase defenseman that was good at that at a time when that was a valued commodity.
IIRC it was probably a little more than halfway through his career (to date) that things started changing, really, with more of an emphasis on analytics, maintaining possession of the puck, and so on. And by then, Girardi was what he was, and he probably wasn't capable of adapting to the shifts in what was emphasized on the ice. We can look at it now and say that his game was statistically ineffective, but it was not viewed that way then. It's like looking back at quarterbacks from 30 years ago, and saying they were terrible because they had a TD:INT ratio of 1, average passer rating of 70, threw twice as many picks, etc. It was a different game and different things were emphasized.