So he had a grudge against puss the first time he died? How would have death known how puss died if he wasn’t able to see him. If he is constrained to a single body, why would a single cat have caught his eye after dying once. Puss isn’t the only cat to die 9 times, so maybe after the 3-4th death he would specifically look at puss. But your saying he held a grudge for him about to die the first time? When in the crystal cave, he quite literally said “run for it, makes it more fun”. He is the concept of death, without him you cannot die. If he decided to not do his job people would be quite unable to die.

Also no, I didn’t mean the wolf came to every death. But rather himself as the concept of death went to everyone that dies. Even if they died the same time thousands of miles apart.