At first I thought you were correct. Then I looked for it and realized I too was wrong. So I checked it out and then realized the error.
However, those are good scriptures to suggest for those who wonder about their pets and the after life.
As for me, I have a firm understanding about the afterlife that I keep to myself when I stumble upon a discussion about a pets afterlife.
Somethings are best left alone. I would never want to compound the hurt one is already feeling from the loss of a loved one.
The last sentence of your post tells us all that you do not believe in an afterlife in which we again meet with our pets.
If you are so sensitive to not hurting the feelings of those of us who hope for such an event, why in the world did you even say what you said?