“If taking the top of my finger was the price I had to pay, that’s what I would do.”
That decision also depends on which knuckle it needed to be amputated past. This quote makes me think it’s just amputating from the top knuckle up, which is really just your fingernail. You still keep a lot of use out of the finger in that case.
Edit: Even if it’s the second knuckle and up, you’d still have a solid amount of grasping utility with that finger.