Sure, I am not disregarding those stats as a CF, in fact here are many types of CF in the game, each with their own merits. But my point being, why do you need to assess the "progressive pass" or "completed pass" or "carries into the final third" for a striker, who's game is mostly build upon "punishing the defenders on the break with his pace/movement into penalty box", and a player who is basically leading the front line of his team, holding up the ball with his physical dominance, and positioned himself into goalscoring position.
Is he suppose to progressively passing the ball to the opponents keeper since he is leading the front line of his team? Is that what you looking for? or drop back deep to help the poor De Bruyne and get himself involved more in build up play, leaving their front line empty at times? Is that really better for the team?
I mean for other players, who can't break the defence line and score goals as good as him, sure they have to find "something else" to contribute to the team. Its all about team structure and dynamic isn't it? Haaland doesn't really need to waste time on doing those you've listed, as they have more than plenty of players for that role already, and he should be focusing on punishing defenders and goalkeepers upfront as foremost, as he is by far the best in the game for that, instead of spending time/effort helping the team's build up play and progressively passing the ball to other lesser players to do his job.
For a striker like him, his primarily role in the team would be scoring goals, and then followed by leading the front line, and punishing defenders on the break with his movements, posing a threat near the box, and positioning himself in advance position for the team. His secondary role would be pressing and adding intensity in the game, as required in modern football. He doesn't really need to drop deep and get many touch, play a progressive pass or anything, this may disrupt the structure of the team, as there will be no one leading the frontline at times. You could argue City would not need a striker leading their front line as per their previous seasons, but well, City is doing well right now with Haaland leading their frontline isn't it? They are currently in front seat for their first ever treble, so I don't see really this argument being valid in current settings.
And yes, sure Henry is making a point, I mean there is always room for improvements for Haaland, even for GOAT like Messi, he could still improve his heading, or working harder for the team etc. Doesn't mean he isn't doing outstanding job right now.