Actually thought the thing is that Lane has been serving in the military for years and he should know that whenever you go on a mission there is always a 90% chance you die. The 'he didn't expect it' isn't really much of an excuse. Also we see he never put either of his daughters in the military, though I'm aware that Lois did have some Military training, and that says a lot to me. Also I don't see him approving Lucy of killing Agent Liberty in such a cold blooded manner. It's possible that Lucy chose to don the costume but there isn't much evidence to prove that.