I like your tag line about "No man left behind".
The first aid I learned was, "Stop the bleeding. Clear the airway. Treat or prevent shock. Protect the wound."
I don't recall learning, "chase the dog and get bitten".
Would you really have just assumed that the boy didn't have an artery ripped open and didn't require immediate medical attention?
The fact that the kid jumped to his feet and without hesitation shows that he wasn't seriously injured and was ready to join battle with mom and kitty. Tight family unit! No wimps or "what iffers."