GDKP ban has done nothing

That’s now how demand works. Demand has nothing to do with the supply, but with the consumer, and the consumer alone. A bigger or smaller supply will not change demand, it will only affect prices.
What you are referring to is an issue exclusively related to supply. What you should have said is that Supply is lower because “it’s harder to obtain and farm”. And that would also not be true.

It could be, yes. But it could also be an increase in demand, which is likely the case, since quests at lvl 40 do give more average gold than quests at lvl 25 did, grey items vendor for more, materials sell higher on the AH, and so the logic is that the supply of Gold at level 40 should be higher than it was back in p1 with the level 25 cap. There seems to have been no major changes in bots being banned recently, which seems to indicate that their process did not, in fact, become “harder and/or more time consuming”.
So this points towards an increase in demand being the cause for the increase in the price of Gold, rather than what you’re suggesting here. And this increase in demand makes sense, if you consider an inflation value that is higher than it would naturally be with a phase change imposing all the changes that I mentioned (more gold from quests, grey items, etc).

This is a broad sentence. If you are referring to Blizzard taking a cut from the gold that is sold, I can agree, there is no evidence of it. But there is no denying they get income from the accounts that are actively farming, so what you are claiming to be “false information” is, in fact, true information, up to a certain point.

What is the logic behind this? The methods involved in buying/selling gold have nothing to do with the Gdkp system, a person can buy Gold and never do a Gdkp. We’re talking about Gold being moved from one account to another, and the ban on Gdkp’s does not change that method at all.

https://eu.forums.blizzard.com/en/wow/t/economics-101-and-the-current-state-of-rmt/494922

Check out that thread, you will learn a few things.

EDIT: adding that with an increase in the Supply of gold, if all things were considered equal, the price of Gold should drop, rather than increase. If we take natural inflation into account, then that drop should not be as high/non-existent/actually get a small increase. The price spiking actually tells us that something else besides natural inflation is playing a role in it, and that is most likely the ban on Gdkp’s. Which may seem like a good thing, and up to a certain point it definitely is.
But then there’s everything else. Because Gold is more available now (not just for purchase, but for all the playerbase), prices will naturally increase (inflation). But a hyper rise in inflation actually devalues your Gold to the point where, proportionally, you actually have smaller amounts of it now than you did in p1. Again, resulting from the ban in Gdkp’s.
So it’s fair to say there are both pros and cons to it, it’s not all sunshine and rainbows like you anti-crew want to make it sound.