It's a huge sore spot with me. They are not pure bred dogs, they are not healthier then WELL BRED pure bred dogs, and they are usually not bred to any type of standard with an exception of a few of the crosses like that labradoodle.
I have a Chihuahua x Dachshund, I flat out refuse to call him a Chiweenie. He was the result of an opps litter, mother was a pure bred Dach, father was a fence climbing Chihuahua. So far at the age of 3 he has had back trouble, luxating patella, environmental allergies, anal gland issues and does not have a sound temperament (he's fear aggressive). Most of those problems are genetic. He also does not look like most of the pictures you'll see of Chi x Dach. He's a very loving boy though, super smart, and incredibly loyal, while I'd never purposely set out to get another Chi x Dach, I'd not take a fortune in exchange for him.