There are many who have no qualms about looking people straight in the eye as their bombs kill hundreds of thousands and they send people of to possible death. Perhaps an activist will come up with a come up with a slick term like collateral damage or friendly fire. The key difference being the cot death is nature at work and the other case is man at work.
Yes death is sad and it's hard to look any grieving parent in the eye but the world is full of tough choices. My problem with your example is it justifies cruelty if for a good cause. Parallel arguments are used for torture of prisoners. Perhaps "No" should mean No and not "No unless".