Prickly Pear cactus tasty to animals

I bought a Prickly Pear cactus from TradeMe.  In theory, this is supposed to have horrific spines that get stuck into you, and ache away for months on end embedded into your hand or wherever.  In practice, either rabbits or possums like the taste of it's pads.  This makes me wonder if it is even a Prickly Pear cactus.

Rabbit?  Possum?