Hit the thrift stores in your area and look for the older Swing-A-Way openers that were made in USA. They are made in China now and are OK, but not as good as the old ones.
^^^^^^^^^^
These....
Other plain jane types just shread metal in one place under the rim from the drive wheel.
Or the cutter wheel decides when and how much of the lid it wants to cut
Or a combo of both depending on what angle its fussy little azz needs ta be held.