A nail is a diget? You go with that.
Actually, it is the 3rd phalanx, not digit, but the third phalanx on all five digits that get removed. The toe at the last joint gets removed. Anything less and the toe nail grows bak. So, yes it is an amputatoin. I mistakenly said digit instead of phalanx, early in the am no coffee, while on the toilet. Sue me.
The cats don't care what you call it, only that their toes get amputated so they don't scratch at the furniture.
Not simply toe nail trim.