Yup, pretty much all of the methods are still in use.
When the right folks are making the decisions, there is a trade study with lots of parameters in consideration. That leads to a variety of methods still being used since there is a variety of parts and materials to be treated and no single method can be said to be the best at everything.
Your post caused me to go back and scan the thread again. I took away a different perspective as someone who was directly involved with the topic for a long time.
I will remind all who are reading about annealing for reloading, as compared to making the cartridges in the first place, that we use hardness as a proxy value, not that we are all that concerned with hardness.
As a weapon system designer, you look at a cartridge case in several ways. One way we look at it is to tie up and bring all the other parts to the party, but then when the time comes it is viewed as a part of a pressure vessel. When we design pressure vessels, we are deeply concerned with several mechanical material properties, and for now I will say the hardness isn't directly high on the list.
When you read technical papers on cartridge brass or general papers on thin walled brass annealing, try to keep in mind why you are looking at hardness, versus the other places where you will see grain structure or other properties measured. Grain structure is important in some ways, but it isn't really the concern.
Also, try to remember that we heat treat at several steps along the way from a little cup or puck to the finished cartridge. We allow some of that work hardening to build up in some places, and want it lower in others. It is relatively easy to measure sample hardness values, and not so easy to directly measure the properties we actually care about. The good news, is that the important properties are roughly coupled to hardness in this context, so we use one to infer another.
There are places in mechanics where hardness is specifically critical and the point of the heat treat is then specifically to harden, but not in the context of what we are discussing. We use hardness as a proxy for all the other properties we want like the modulus, ductility and strength values that come with it.
We often study the properties of bulky samples that have no resemblance to a thin walled cartridge in order to make lab study easier. The heat treatment of those bulky samples create differences that we must navigate to insure the results are still meaningful when we jump to thin walls like in cartridges.
Work hardening alpha phase brass changes many properties and some more than others. Getting bulk standardized samples work hardened to the same level as a thin walled tube is different, and so are the thermodynamics of getting thin walled tubes to temperature. The modulus and strength properties that are important as a pressure vessel between the two types of samples, are tied to each other by the hardness value.
For example, I can make standardized tensile test samples that are very easy to measure in terms of all those important properties I mentioned, but to work harden and heat treat them the process isn't the same as a little tube like a cartridge neck. And, since making direct measurements on tiny thin samples also creates difficulties that are expensive to solve, we accept hardness as a proxy.
In the end, we use the hardness value as a proxy to jump between what happens to cartridge brass that is tiny and difficult to measure and the bulky standardized samples that we think we understand.
Factories have produced brass cartridges for a long time now, and the deep draw and heat treat methods are pretty well understood. As hobby reloaders, we are only mimicking what has been done by factories and are lucky that the properties of cartridge brass allow us to do this with a fraction of those resources.
YMMV