The bolded is the only relevant part of that paragraph, since I did misunderstand the last sentence of your initial post. Ultimately, visuals always help understanding the data better.
The rest really adds nothing to the discussion, since you're just trying to convince me for some reason... when I've already laid out the data graphically after seeing your first rebutal, and realized that I misjudged his streakiness through his first two seasons due to last season's streakiness.
I don't know how you come to the conclusion that my graphs don't include those 83 games when they literally do. It's the end of 21-22 and the 22-23 season. As I even said, the rolling sum is continous between seasons.
It's not a double standard to point out that he'll need to shoot more; I'm in no way saying he can't adjust - just that he'll have to. I also mention that an increased shooting volume is expected with lower sh%, even without change to the way a player plays, due to the simple fact it adds more opportunities to shoot. That's what my last sentence entailed. If you don't score on a shot, you might get a rebound and thus an additional shot you wouldn't have gotten had you scored.
Sh% statistically normalizes, especially when it's in historical outlier territory. Shooting doesn't necessarily normalize (but can), since it's far more prone to deployment (PP opps notably), selectivity, score effects and overall play. If you take a shot on a rush, and don't score, a teammate might be able to gain possession of the puck and establish position in the OZ, leading to you getting an additional shot or two during that sequence - a sequence that wouldn't have necessarily happened had you scored due to the central ice faceoff.
One interesting phenomenon that you see with Cole last year is started shooting more early in his cold streaks, but his shot volume gradually goes down, and when he finally finds touch back, the shots come back at the same time. I suppose this happens due to a confidence boost and to many goalscorers league wide, but too lazy to do that. Also too lazy to cross-validate to see whether it could be due to fluctuations in PP opps, ice time, teammates, etc. Could just be impact from minor injuries, too.
View attachment 925250