I think the pets are coming to aid you rather than to attack you.
I admin’d a couple pets into my Solo game while testing the new commands. When I was done testing, I set out to destroy the two that I admin’d into the game. As soon as I struck one with a sword, 5 pets charged in almost creating a circle around the fight area.
I waited a moment to see what they would do and they did nothing more than look aggressive. So I continued to kill the test pet. Once dead, I removed the dead body and the aggressive pets returned to their “home” position.
I believed they were coming to fight so I moved to an open area, admin’d in a wild critter and attacked it, the same thing happened. Rather than keep killing it, I allowed the wild critter to attack me. Immediately after I was attacked, the 5 pets that came charging in launched an attack on the wild critter and killed it.
The difference is that the test pet did not attack me back so the aggressive pets did not attack it. The wild critter did attack me back and were attacked in return by my pets.
The pets might be running to the character because the character took damage from the jump.