How can sheep be poodles?

Okay, maybe they have a similar white fluffy things going on around them.
I always sniff out some poodles in the park but they are definitely dogs. Their fluffy hair sometimes gets into my mouth when we play but they don't run as fast as me so I get bored with them quickly. I have never seen a sheep but have seen horses, and while I know they are animals I know they are not dogs and anyway I am too short to sniff their behind to make sure.
So I hear this story; poodles are expensive in Japan and there is a scam going on where sheep were imported there and sold as poodles for $1600!
People wondered why their new pet did not bark or eat pet food and also when they took poodles to get their claws trimmed they were told they were hooves not paws!
It all sounds sheepish to me!