Pros and cons of cutting scope rings

I purchased a scope ring cutter and have been resetting all my scopes after I cut the rings. Other than removing too much material and loosing effective grip on the ring screws, what possible down sides are there? The up side seems evident in the removal of any torque resulting from misalignment.

There are other scope alignment tools that are less drastic, and less expensive.

Honing the rings is a good thing to do. But I would prefer to align them correctly than cut them.

what does this cutter look like and how do you use it?