System Information
Operating system: Win10
Graphics card: 3070
Blender Version
Broken: 2.93, 78116a1edc9b, master, 2021-02-18
Worked: I don't think it ever worked proper. But boolean issues were told to be reported here.
Exact boolean fails on the following example.
Take a cylinder and select the bottom face and flip the normal with alt + N.
Then bevel the face with ctrl + B and it will go outward.
Use another cylinder and extrude is as the gif and use it as a boolean after setting it to wire display.
The geometric result should be more broken than one would generally expect.
Attached is a blend of the gif above.
Below is a more cleaned up file.

