Poodles? You better believe it!
I have taught all of my dogs a service dog retrieve, meaning that they will bring me an item that has not moved when I indicate it (either a gesture or using verbal commands to locate the object).
But anything that moves they will happily bring back instinctively. My first Poodle actually didn't have a very good recall (just wanted to run in big circles, lol), so I would throw a ball or stick and he couldn't resist bringing it back... the retrieve was solidly programmed into his brain
Up until this past summer, Charlie could never be seen with an empty mouth - there had to be *something* in there... stick, leash, water bottle, towel, boot... when I needed him to calm down and stay next to me I'd put my hand in his mouth - he would hold my hand, and I would hold his bottom jaw
Fortunately my Poodles have never wanted to destroy anything - just hold it carefully. Charlie will still sometimes re-arrange items in the house... take a sock out of the shoe and leave it on a kitchen chair, then take a dish towel and put it on the shoes etc.