That would be the most extreme form of the Complication. I see attitudes towards violence and killing as existing on a continuum:
- Code vs Killing: The character will take steps to avoid killing, even when the situation would would warrant it.
- No Complication: The character will take a, "good shoot" if he has to, but tries to avoid the situation if possible. (Good cops and soldiers are here.)
- Casual Killer: The character is looking to take somebody out. They may have a list of targets they consider acceptable (minority groups, terrorists, criminals, etc), or restrict themselves to situations where they think they can get away with it. A bad cop might have this at (Common, Moderate). He's more interested in shooting criminals than arresting them, but he realizes that he has to make it look reasonable.
I generally agree with your principle here, though I disagree with the specificities. Some of those qualifiers would reduce the commonality or strength of the complication significantly. The standard form of Casual Killer from Dark Champions 5th Edition is listed as Very Common, Strong.