We have a cross breed and a pedigree. Have previously had a Dachshund (most aggressive thing on four legs I've ever met) and a rescue dog (mongrel) that came with all kinds of baggage and eventually he had to be pts as a result of health issues we weren't informed about.
We didn't choose our cross breed because we wanted a designer dog, but because we wanted a pet that had minimal shedding and low odour as well as being friendly and intelligent. I would have liked a poodle, but DH refused point blank to consider one. He cost a lot, but so do pedigrees. He came from a reputable breeder who is well respected amongst the dog fraternity. He is the most loving, friendly, non-aggressive dog you could wish to meet......oh, and he neither sheds nor smells until he rolls in something disgusting
Later we got a pedigree second dog. Similar cost, from a reputable breeder who was instrumental in introducing the breed to the uk. She, otoh (the dog, not the breeder!) is extremely feisty, barks a lot and some people find her intimidating - although that's part and parcel of her breed - she is much harder work, but adorable just the same.
Imho I agree with Hop that all dogs started out as 'designer' breeds as the KC and breeders have played God with the gene pool.......