I do a lot of cooking and own quite a few kitchen knives, most of which have bitten me at some point. I understand the idea around sharp knives being safer...but I don't agree.
If a razor sharp 210mm Japanese carbon steel knife touches your finger, it's split open and might need stitches or glue. A less-sharp knife would need more weight behind it to cut effectively which can lead to you completely severing a finger, but simple slices are a much more likely scenario than your finger being completely under the knife to the point where it's effectively a digit-guillotine.