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I installed the latest Windows 10 build (19045.7548 via KB5099539) and I can't reproduce the issue, the option works for me. If you can provide steps to reproduce the issue, please let me know.
This is not related to 7+ Taskbar Tweaker. Please create a new issue here:
https://github.com/ramensoftware/windhawk-mods/issues
7+ Taskbar Tweaker is in maintenance mode, and new non-trivial features aren't planned.
You might find this Windhawk mod helpful:
https://windhawk.net/mods/taskbar-primary-on-secondary-monitor
jump_list_drag_disable is an old name, sorry, it was changed to drag_towards_desktop. I updated the answer. Refer to the help file for more details.
As you noted, disable_items_drag is a different option which disables reordering altogether.
You can access the Advanced Options from the main window context menu, or from the tray icon menu.

From there, you can find drag_towards_desktop and set it to 1.
I'm not sure what you're referring to. 7+ Taskbar Tweaker only has an option for system-wide volume control with the mouse wheel. If it doesn't affect Discord, then it's not something that's related to 7+ Taskbar Tweaker.
Have you read the text? Have you tried it?
Customer support service by UserEcho
That's the wrong place, this is a support page for 7+ Taskbar Tweaker.
You can post your Windhawk discussion here:
https://github.com/ramensoftware/windhawk-mods/discussions