You make a good point about him being good at retrieving pucks. Just the sort of skill that needs an advanced stat invented for it so that we the new advanced stats gurus have something to track...
You also make a good point insofar as suggesting indirectly that his skillset is more nuanced than some. For example, in this CA article, Jeremy Davis outlines some stat he calls gains/60:
https://canucksarmy.com/2017/10/26/...-is-unless-you-already-think-hes-really-good/
This stat details how many times a player "gains possession of the puck for his team, be it by recovering loose pucks, intercepting passes, or stealing it from opponents". Gudbranson is by far the lowest on the team with about 20/60. Now, this struck me as odd since when watching the game, is see Gudbranson gain the Canucks the puck at as great a rate as any other defenseman. The rub here is that Gudbranson likes to tie up the man and leave the puck for his D partner. He does all the work, but it is crucially his partner who "gains" the puck and thus gets credited in the advanced stats.
Likewise, Gudbranson often defers to his partner by passing cross-ice rather than attempting to exit the zone himself. This makes his advanced stats look bad, but to me actually shows a good understanding of his own skillset.
We have to look at more than just the surface with a player like Gudbranson, but what you have just outlined is only half the story.
To go on a bit of a tangent here, player analysis seems to work like this: We take a part of the game that we deem important (ie: times on the ice for goals for and against) and we devise a stat to fit an explanation of how that part of the game works. This works most of the time. Then some smart alec comes along and explains how we are not delving deeply enough into this aspect of game play and invents an even more nuanced stat like Corsi. Later, another stat savant comes along and decides that Corsi still doesn't tell the whole story, and so we get something like Fenwick. Then maybe we say "oh, I can make assumptions about the whole story because my stats are so nuanced". Not to say that this will continue ad absurdum, but hockey is just not easily analyzed in this way. Hockey is not baseball where plays can be parsed into short, discrete chunks where 99% of the time the right fielder has nothing to do with the play at third base.
It is precisely for this reason that a player (like Sutter or Gudbranson) can have bad stats or advanced stats or both and still be a decidedly positive contributor. The cliched intangibles still exist and still make up the majority of (un-tracked) game events.
I am not trying to pick on what you are saying (it is largely informative), but I do truly want to caution the hockey watcher at large to actually watch the game rather than rely on some preconceived notions of vague aspects of a player's game. This is precisely what the advanced stats wave has been trying to get away from in the first place.