In binary logic the above would suffice. However, we do find that Rabbeinu Hakadosh was punished 13 years for not having Rachmanus on a calf that ran to him for protection when it was about to be slaughtered. He said to it, “Go. You were created for this.” The pain that Rebbe was inflicted with only left him when he had Rachmanus on a mouse.
What Rabbe told the calf was true. Rebbe didn’t stop eating meat after this. However, it’s not always about the rules. The calf came running to him and it was supposed to invoke Rachmanus. He wasn’t supposed to quench his Rachmanus with logical big picture reasoning.
If someone would run into Bais Medrash and yell, “Rabbosay, there’s a heron attacking an innocent duckling!!”, I would not run out with lights and sirens to help the poor family in distress. However, if I was standing there, observing the cute family of ducklings, and suddenly a big predator attacked, especially as the mother looked on, I would probably intervene. Although, as mentioned above, once it started attacking there is no point in intervening.