I'm.going to have to disagree here. You are doing that thing old school fans love doing; highlighting esoteric scenarios and claiming, well stats can't show that, can it? Sure it can't. Bit that's not the starting point.Those statistics don't mean much to us though. You can have very high distribution accuracy by being at a team who never kicks long, but that doesn't mean you've got the passing range to do what Pep wants. Similarly, you can have shit distribution stats like Pickford's but actually be an incredible passer, your manager just wants you to boot it long though.
What we need is a keeper who can execute those chipped balls to LB, RB and defensive midfielder, often over opposition players and under pressure. That kind of mid-range 20-30m distribution is only seen at clubs as dedicated to beating the press as Pep's, and there aren't that many of them.
I imagine OPTA or Prozone do have the exact stats you'd want to see how good a keeper is at that kind of play, but Whoscored, Squawka etc. don't use them.
On top of that, what really sets the "Pep keeper" apart is what he praises Bravo for the most - Getting their head up, and seeing which way play should go in order for us to create an overload 10 passes later...that's not something you're going to pick up statistically, and it's very hard for anyone who isn't watching games regularly live, in the stadium, to see.
Similarly, stats can't show whether a keeper can stay idle for 60 minutes then be sharp for the 1 major chance the opposition gets. There are few teams who have this specific type of need, yet in choosing a keeper, we'll still rate more highly the keeper who saves a majority of his shots over the one who saves half of his. Even though we don't know which player can stay bored all game yet alert for single incodents.
Donnarumma's stats are relevant. If nothing else it shows he plays for a team that wants to and succeeds at playing out of the back.
And at doing that he completes at a better rate than Bravo is more suggestive that he is good at playing out of the back than say the Mythical Pickford footskills that we've nev we seen in a game.
And while Pickford might have Messi like distribution skills, they are grossly untested. Donnarumma's is tested and has shown to be at the minimum, above average and very likely actually good.
Btw a quick YouTube search of "Donnarumma vs" unearthed videos against Pescara, Empoli. Roma, Juve, Netherlands, Bayern etc. All of which showing him consistently playing out of the back and passing out to break the press.
The videos don't surprise me though, a simple look at his completion rate and average pass distance easily suggested he was a pass out of the back keeper.
So in this scenario, I'd say Donnarumma's stats say a lot. They say he is likely as much a Pep keeper as anyone else. Real or mythical.