hey i know this thread is years old, but maybe someone might find this useful:
Put a bird underneath the ground and cats on top. The cats will be drawn to the bird in follow mode and as far as i can tell not ever follow or tp to you. They only just stand there though and don't do anything. I only just figured this out by accident - I thought I would share. It should work with other pets with this prey behaviour. Perhaps birds would even follow seeds? Maybe this mechanism works for some neat workaround, if you could maybe move the bird around without it being too noisy.