So I went through the same steps as before:
1. Pulled the latest Emacs Org Mode

2. Ran the following command in a terminal to get a clean Emacs without a config:
emacs -Q -L ./lisp -l org

3. Create a new org file

4.. Type (literally) the following:
* test

5. You will get a file containing "* test" exactly, no newline at the
   end

6. Do _not_ save the file

7. I then set the 'org-log-into-drawer' variable to true by evaluating the following environment variable with 'M-:':
'M-:' (setq org-log-into-drawer t)

This returned 't' in the minibuffer.

8.  I then used C-c C-c, and received the following example output:
```
* tes
:LOGBOOK:
- Note taken on [2022-06-27 Mon 22:38] \\
  Adding note with org-log-into-drawer enabled
:END:
t
```

Let me know if this is the desired output in that respect, or if this fulfills the weird edge case present.

Thanks,

Sam


On Mon, Jun 27, 2022, at 6:18 AM, Ihor Radchenko wrote:
"Samuel Banya" <sbanya@fastmail.com> writes:
> I checked 'org.el' which has the related 'org-add-note' function present.
>
> This appears to call the 'org-add-log-setup' function, and passes the 'note' argument to it.
>
> I then took a look at the 'org-add-log-setup' function.
>
> From the bug's nature itself, it most likely is moving the cursor incorrectly to the previous line above it, when it should be really doing it on the line AFTER it.
>
> This to me is probably the 'moving' section that should be modified:
> ```
>   (move-marker org-log-note-marker (point))
> ```
>
> It's probably the position that needs to be recalculated or adjusted accordingly. 

The offending function is different. This piece of code is admittedly
slightly tricky - org-add-log-setup does not determine where the note
will be inserted. It defers note taking to org-add-log-note, which, in
turn defers saving the note text to the time user presses C-c C-c in the
note buffer.

The function doing the actual insertion is org-store-log-note and the
function determining where to insert the note is org-log-beginning.

Note that the patch I attached in my earlier message contains the fix.
What is left is studying a similar edge case reported in the reply to my
patch:

Tor Kringeland <tor.kringeland@ntnu.no>:
>> Thanks!  This fixes the bug (which was present in both Org 9.5 and 9.6)
>> for me.  However, my original bug, which is only present in Org 9.6, is
>> still there.  Do the same thing but set org-log-into-drawer to t.  Then

That is, you need to follow the same steps, but set org-log-into-drawer
to t before creating a note.

Best,
Ihor