So, what you noticed:
after removing a couple of icons, the visible ones became draggable
-That’s expected. Draggable in Windows 11 25H2.
overflow icons remain stuck
That’s by design—not a bug.
Go to:
Settings → Personalization → Taskbar → Other system tray icons
Turn ON apps you want always visible (so you can drag them)
Turn OFF ones you don’t care about
Once an icon is visible on the taskbar, you can drag it freely.