Dachshunds can be any color...all colors! BUT if you show a Doxie, they are traditionally Black and tan or Red ...that's about it. The show ring HATES, for example, the piebald. Not sure why. I think it is like any other show...if I took a super dog or bitch into a ring and it won and the animal was the dreaded piebald color, there is a possibility that piebald dachshunds everywhere would now be sought after. I think there is a group of people who want something different. Cremes, Isabellas, Dapple (any color), Brindles, black (no tan) they are either loved or hated... Traditionalist will not want them...no matter what the conformation is. Many people like to look at the "cool" colors, but they buy the traditional ones. The exception seems to be cremes...everyone seems to like cremes.
My guess (guess only) is that it is probably similar with dogs as with the horses. Originally horses were bred for a purpose...not a paper. If a horse was born at the stud in Hannover, it was a Hannoverian. If the stud (place breeding the horses) decided that they wanted a little refinement, they may select a few Arabians to add refinement. Later they may add some draught horses. Paperwork did not matter...the result was what was important. AND if it was born at that stud, it was "registered" Hannoverian. Americans just take two horses that have Hannoverian papers and breed them together and register ALL the foals and sell them as Hannoverians. Peruvian Paso horses were bred to travel comfortably between haciendas. They bred Barbs, Andalusians, Spanish Jennets and others together and any who did not meet the expectations in temperment and gait were "rigorously culled from the herd!" We don't do that here. When developing the breeds overseas, more attention is put into function than into the paperwork.
Dachshunds were bred to hunt and kill badgers. They have a look, conformation and attitude for that purpose. I have seen some very poor specimens being bred. When I tell people that my dogs are retired show dogs, people instantly hear "High dollar" and leave! My explainations of how this makes them better pets is already lost?!!! The deep heartgirth and long rib cage support the long back of these guys. They are supposed to have long roman-type noses and big bones. Legs that turn out ("Eastie, westies") and lack of chest depth causes problems for the dog, if they work or are just pets! So what do you do? I can sell a "pet quality" dog without full papers, but that doesn't keep someone from breeding him...and/or registering the puppies! CKC is super easy to fudge a dog in...then there is all sorts of other papers...and uneducated people see "registered" and quit asking. Not all papers are created equal...
Border Collies have lots of different looks when they are working dogs. I can't think of a "pure bred" dog that doesn't descend from another breed or 10!!! That is why I find that genetic testing for breed so funny. How can they really tell? I have wanted to test my AKC dogs, just to see. But I don't have money to burn so I guess I will never know! LOL