I’ve had lots of turtles, and none of them could be described as playful. My painted turtle kept expecting Henry the cat to feed him. My box turtles annoyed the family dog by eating his food. What was he going to do about it?
Cats play. Turtles don’t. Very hard to have a meeting of the minds. Turtles do respond to affection, but they don’t care to be pounced on. Cats may be surprised at how assertive a tortoise can be.