The day does come when puppy or kitten games are no longer attractive and when it does, the experienced dog or cat owner starts considering where a beloved pet is to be buried, and whether that last harrowing visit to the vet is at hand.
So do be careful what you wish for, dear pet-owners.
That said, my last ancient cat, who had patently been contemplating death's door-step for weeks, went out and caught me a blackbird one day, then lived on contentedly for another couple of months.