Pyrmom, that would be a really good question for the American Hybrid Club. I was reading through the list, and there are a LOT of them. I actually could'nt believe some of the names. It makes me wonder whether we will have many true breeds left in 50 years. Hopefully it's just a fad. I never realized there was such a thing as a miniature Bulldog, but of course there is, and it's a cross between a Pug and a Bulldog.
I think it's a great idea to breed parents to offspring, and siblings to siblings -- the fewer outcrossings the better. You would be able to memorize 5 generations of a pup's pedigree in about 10 minutes. ;-)