We distribute a distribution medium called „Everything“ at https://alt.fedoraproject.org/ and various subpages. This provides several (mutually exclusive) installation options, in addition to all desktop spins and labs also a "Fedora Server Edition". There are several problems with this:

1.
The installation falsely claims to install "Fedora Server Edition" and reports accordingly when booting. However, the default values install a desktop environment, so that our Fedora Server Edition comes with btrfs and a large /home subvolume, among other things. This violates pretty much all of the lower technical specifications for the Fedora Server Edition.

The btrfs partition is an unavoidable effect of having a boot medium derived from the Everything tree; it gets whatever the Fedora default partition is; we change it explicitly for the Server media.

I'm concerned by your assertion that it installs a desktop environment if you select "Fedora Server Edition". I'm booting a VM right now to check that. It definitely should not be doing that.

2.
There are always users who download the "Everything" medium instead of the various edition-specific media. They rely on the "Fedora Server Edition" label and then complain that nothing works as it should and as it is described in our documentation.

I think that's an overstatement. There might be a few things that behave differently because of the partitioning, but that should be the only difference. If something else is different, that's a definite bug.

3.
Funnily enough, a "wild collection" of groups is offered as sub-options for the server installation, ranging from various graphical user interfaces to special configurations such as video editing. All of this certainly has no place on a "Fedora Server Edition".

That again is not something we have control over in the Everything installer. Those subgroups are automatically populated by the contents of the comps groups that are present in the install tree. It's much smaller on the Server install media because we don't have most of those packages on the disk, but if you were to go into the Install Source spoke and set it to use the network, you'd see all of those appear as well.

4.
The compilation of options and sub-options does not give the impression that anyone has seriously considered their meaningfulness recently.

I'm not sure I understand this sentence, but assuming you are still talking about the Environment Group and comps groups, this is just a limitation of how Anaconda works. Given that the installer is being completely rewritten (using Cockpit), I'd suggest providing some feedback there.

5.
And even worse, a major provider of rentable ROOT servers (Hetzner), which has just managed to bring Fedora back into its supported OS options, uses "Everything" because it's the best for customers. And thus produces user disappointment at a critical point. This thwarts our efforts to make Fedora Server Edition available on other platforms.

Could you ask them to explain what "it's the best for customers" means to them? If they made that decision, they either have a reason that you are missing or else they misunderstand what the downsides are to the "Everything" repo.