For cutting stamped images this is how I do mine:
I scan the stamped image into MTC to trace, apply blackout so that it's a solid shape, and save. I cut the shapefirst, use my stamp-a-jig to line up and stamp.
Once you've scanned and saved, you don't have to trace it again.
Print and cut allows you to cut around a printed image. Some machines have optical eyes for this and others use laser...I prefer laser.