... the windows app has been cleansed of it, which is great.
In fact, nothing has been cleansed. Everything is still the way it was, but like the proverbial ostrich, you just don't see it anymore. Please let me explain:
Obviously, when a copy of Windows is sold, Microsoft can't possibly know whether or not the buyer belongs to an organization.
There are essentially two versions of Windows. One version is sold to individuals, who take care of ('manage') their computers on their own. That version of Windows is called Home. The other version is sold to organizations whose computers are managed by a professional manager. That version is called Pro. The difference between Windows Home and Windows Pro is that the Pro version has additional tools which are useful for professional computer managers.
Of course, anyone can buy either version of Windows. For example, an individual is free to buy Windows Pro, even if they aren't part of an organization and instead manage their computer by themselves. But you have to keep in mind that Windows Pro was created for organizations that have centralized, professional computer management. In that case you should expect that some of the messages you see will be worded as though your computer was part of an organization, even if no organization exists. This is part of the explanation.
One of the additional tools that Windows Pro has is called the Group Policy Editor. This is a real life saver if you're an organization's professional computer manager. The Group Policy Editor makes it possible to easily apply settings to hundreds or thousands of computers at the same time.
Microsoft filled the Group Policy Editor with thousands of computer settings that could be very useful to a professional manager - to an organization. In similar fashion, computer settings that could be useful to an individual were put in the Settings app. Naturally, there are many computer settings that could be useful to both an individual and a professional computer manager, so Microsoft's decisions about where to put them - in the Group Policy Editor or the Settings app - are sometimes arbitrary.
Now you can understand what is meant by 'some settings are managed by your organization' - it means that some settings are in the Group Policy Editor instead of the Settings app. And that's all it means, whether there's an organization or there isn't an organization. I have the same thing with my computer, for example:
In this particular example, the message is telling me that some Windows Update settings (i.e., where you choose how long to delay receiving updates) were moved from the Settings app to the Group Policy Editor. Without that message, I might think that Microsoft removed those settings entirely.
So if you're looking at your computer's configuration settings, and you see a message that something is managed by your organization, all it means is that you have to look in the Group Policy Editor in order to find that setting. If you don't know where to look in the Group Policy Editor, just ask. That's why we're here.
(If you have Windows Home then you don't have access to the Group Policy Editor. In that case, you may or may not be able to change the setting in question through other means.)
Nothing about this changes when you can't see a message telling you to look for a setting in the Group Policy Editor, only now you may not realize that you need to look in the Group Policy Editor, as in the example above, because you aren't seeing those messages. Editing the Windows registry, which is a risky thing to do under any circumstances, simply to make a cosmetic change is ridiculous. A problem is not solved just because you can't see it anymore.