Not certain that you care, since I have a 2022 Mazda 6 GT. I don't know if your engine is a Turbo (like mine), or NA, and I'm not certain if we have the same automatic transmission, though it is possible.
This is my first automatic transmission in almost 30 years of car ownership, and not by choice. My previous cars were all manuals, so I may come across as too picky.
The first thing I would say is, don't hold your hopes on the car "learning" anything. From what I can tell, the only thing the car is trying to learn, is how to maximize the MPG, and/or reduce emissions. After about 7500 miles and just over a year of ownership, I do not feel that the car has "learned" anything. Instead, I have had to learn how to work the throttle to get the transmission to behave the way I wanted it to, or as close to that as is possible. Which, on the plus side, turned out not to be all that difficult.
For the first year I shifted myself, almost entirely by using the stick (not paddles), while running in sport mode. I have not discovered a combination that performs better, as far as responsiveness. I have recently given up on both, the sport mode and manual shifting, because the price of premium has gone through the roof.
For me, the biggest problem with the transmission is the number of gears, and/or spacing. Because my car is a Turbo, it performs like a diesel; meaning that it doesn't like to rev, and if you do rev it, there is not much joy (power) in the upper revs. I suspect Mazda intentionally tuned it to work in the low revs. Again, for MPG and emissions.
This means that I effectively have 3,000 RPM (above idle) to play with. Combine that with the power output of the engine, and I find myself shifting quickly, and often. This is fine in the first four gears, but the fifth and sixth are clearly meant for (leisurely) cruising. Shifting from "top" of the fourth into fifth feels like dropping a (very heavy) boat anchor.
It is not surprising that many cars that have hit the market in the last three-four years have eight or more gears in their transmission. They have to; they are all tuned to operate in a narrow range of low revs, so you need a lot of gears to get up to speed.
I am puzzled by your comments about jerkiness. Perhaps my car's higher curb weight mitigates any shifting harshness, or perhaps because I drive aggressively I am not as sensitive to it. But I haven't had any problems with shift smoothness, especially when slowing down. I have on occasion experienced a jerky shift, but it's an exception, rather than the rule. I cannot think of anything to suggest here, except maybe to change your transmission fluid early, preemptively, and see if that helps.