I'm in no way even close to being in the medical field, but I could see it as an unreconcilable dichotomy between the hippocratic oath and the fact you're going to be causing damage no matter what.

Sure, the hemmhorage needs to be fixed, so you're preventing further damage, but every cut may cause unknown ramifications. Anyway, I'm postulating a neurosurgeon would be aware of this, and have to carry that around with them.