The Sport H doesn't have an articulating keel because its pumps don't always steer together. In other words, if it had a keel, which pump would it follow? Also, the keel would just add rotational resistance when the boat is being commanded to turn in place. So as y'all have surmised already, I bet the lack of an articulating keel required Yamaha to go back to impellers with different pitches in order for the boat to track straight(ish) ?, especially when the boat is "launching" on plane.
On a related note, during the first few months of owning my Sport E, I adjusted the angle of my pumps several times to adjust the boat's tracking without sacrificing straight-line speed. Eventually, I landed on one of the pumps and its associated Cobra fins "heeled out" slightly more than the other one — relative to the articulating keel. When I initially installed the fins, I mistakenly started with the keel centered... which caused the boat to pull to the side. And then I remembered that the boat came from the factory with the keel closer in angle to one pump vs. the other, and that's when I realized that the pumps are not counter-rotating, so the boat will tend to pull to one side.
I haven't been on a Sport H myself, but coincidentally, I caught up with my salesperson at my dealership a couple days ago when I was picking up my Sport E from its annual maintenance. She was raving about how the Sport H tracks so much better and is easier to dock, and that if she had the money, she would choose a Sport H without fins over a Sport E with fins, just on steering precision alone. (She was the person that originally convinced me to add Cobra fins to my first jet boat.)
On a side-note, I also adjusted the position of my transom-mount Active Imaging 3-in-1 transducer many times during a full day of testing on flat water with no wind, because even 1/2'' change in transducer position affected tracking and speed. (I've since mounted a second AI 3-in-1 so that each one is responsible for scanning its associated side.)