Researchers believe that rabbits are able to play dead and go into a state of tonic immobility as a last resort defense mechanism. ... Despite the relaxed appearance, it's a body position that puts rabbits under extreme stress. To prevent undue strain and anxiety in your rabbit, it's best to avoid trancing your rabbit.
Do rabbits like to be cradled?
It's a common misconception that rabbits like to be handled. In reality, most rabbits are afraid to be held. Rabbits are prey animals. They have survived because of their ability to run away and hide.
Is it bad to put a bunny on its back?
What's at Stake? Flipping your bunny over on his back can do more than annoy or frighten him. It can cause him to panic and seriously injure himself, possibly even fatally. Rabbits have fragile spines, so it's possible your pet may break his back as he struggles and kicks to orient himself properly again.