I have tried the following basic troubleshooting steps to ensure I am not overlooking something simple:
Tried different browsers.
Tried different computers.
Had multiple different users try.
Tried in incognito mode.
Ensured workflows and schemes were all correct.
The bug, as far as I can tell, is that I cannot drag work items to another status column unless the column has 2 different statuses in it. The blue highlighting showing a valid column to move to (apologies for the amateur description) does not appear on any column. If I assign 2 statuses to 1 column in the board settings, all columns with valid transitions are then highlighted blue as normal.