The argument as to whether all tasks that work wood are considered woodworking is perhaps predicated on the notion that when the process of working that wood spends more time at a keyboard/mouse than with a tool in-hand, then it is not woodworking.
That is a false predicate.
Methods and procedures change with the introduction of techniques and technology.
In every generation as technology to do something changes the fundamental nature, there is always a group of classically trained individuals that gained their knowledge before the behest of said technology, decrying how the people that do it the "new-fangled" way are less of a craftsman in whatever genre of craft you want to consider.
Let's take the tale of the powered rotary tool introduced in early 1900's, you may know simply as a "router."
Before powered routers were invented, at most maybe you could turn out 20 drawers a day using hand-tools to cut dovetails to join things up. You used a chisel and you put 2-3 dovetails on each board, max. Then in 1870, Knapp invented the half-blind cove-and-pin joint produced by a specialized belt-driven machine. The "Knapp" joint allowed you to produce 200 drawers in a day, 10x what a hand-tool worker could produce. Then came the powered router around 1900 and what did people do? They immediately made a dovetail router bit and went back to making dovetails. Now they could make about 2k drawers a day and you could put more dovetails on each board with a high degree of accuracy.
When this new technology came along, you would have absolutely heard hand tool workers say …
"Oh, Mary uses a router to make dovetails. That's not woodworking. Put a chisel in her hand, now that would be wood-working."
The premise behind this idea is actually very simple. One supposes that when a task or procedure changes in a way to incorporate something that is foreign, the mind naturally wants to separate the two.
In this particular example from the 1800's-1900's, we're talking about drawers and dovetails and how electricity was never involved in the process of cutting dovetails (or Knapp joints) until the powered router was introduced. This fundamentally alters the process of joinery to now include electricity-something that used to be wholly separate from woodwork joinery until then.
There you have it. That's how one generation can sit there and claim another generation is not really performing the task at-hand, but a different task.
It is in this vein that one may suppose that CNC work is not woodwork. That's because traditionally one did not need (and arguably still does not need) computer software to drive a robot to do woodwork. One might argue that it is more aligned with software programming than it is with woodwork.
However, as a software programmer myself, I would say that there is a difference between the programmer that uses their knowledge to program websites and one that uses it to program woodworking robots. The latter is a form of woodwork because of the ends, not because of the procedure and tools.
A tool, yes even a hand tool, can completely disappear from use and the industry it served can still survive. Joinery still exists, but only artisan craftsman, period woodworkers, and academic hobbyists are going around cutting dovetails by hand. Joinery didn't disappear or become irrelevant because powered routers took over the task. Also, nobody today would dare say that someone who cuts a few dovetails into 2 boards with a router and shoves them together is NOT performing woodworking.
With that, I will answer your first point. The main purposes of CNC woodworking is to bring a set of tools to the craft that excel in a certain way. That's the purpose of every tool in woodworking, be it a chisel, hammer, gantry based CNC, or any other tool. I can do things with CNC that cannot be done any other way-but those projects incorporating those features still have to be finished by hand.
Some of the best features the CNC tools bring to woodwork is repeat-ability, accuracy, and time savings. It doesn't always play out in the full trio (sometimes it takes longer to produce the cut paths than to just bang something out by hand with a hand tool), but you can rest assured that anytime CNC is used, one or more of those features is being targeted.
It's still woodwork. Even if someone writing G code for the CNC machine never steps foot in the factory, he needs to know feeds and speeds for species, and that is woodworking. Anybody who says it isn't is falling into the trap that technology (be it old or new) baits for you, because you used to consider two things separate which have become one. In 1000 years people will be debating whether using the replicator to replicate your wooden project is woodwork, instead of doing what everybody else does which is extruding physical wood into a shape instead of building it from atoms.