Since the "Scratched" injury also says to a minimum of zero, I'd go with that. If someone drops to 0CC, then you still have a couple of options:
- Retire him
- Give him the longest range weapon you can and keep him far from trouble. If he earns a trait, put it straight into Characteristic Increase: CC.
The rules are pretty good, but we find ourselves making loads of house rulings like that all the time.
Arabin