The loss of any single VIP would be detrimental to them - they need to outnumber us, remember. There's also the possibility that they could lose two in one go if Legion were paired. Still then, when my execution is another error, I believe public opinion would still be on Missile's side. He would be wrong - he is a dog, he has made a mistake. His opinion may not be trusted again, but would anyone seriously consider the possibility of conversion?

But yes, it would be the action of a group willing to take chances - the possibility of protecting Legion one more day as opposed to whatever might come up in the future. Is there any other time when they would absolutely need someone to be executed? I would say possibly not. The Medical Team is busy protecting Missile, one of their own, and the Buddy Cops can be easily killed in the night at any time if discovered.