2 American Bunny

The first part of the domestication process often doesn't change the part of the rabbit which you can see.

What is bred for, is tameness, the person wants a domesticated version. What usually happens is that the person is selecting for changes in biochemistry - they are breeding the most trusting and babyfied animals who look up to humans as parents, and who never reach the stage of mistrust.

The person then breeds only those few animals that are domesticated, and tame. This often means the person must cause the animals to mate incestuously.

Sometimes the domesticated animal looks the same as the wild type, but is not as vigorously healthy, because it is inbred, and because it was breed to have a biochemistry different from what is normal for its species.

If the person breeding the animals fails to make sure that each generation of her breeding stock is tame, there can be a reversion to the wild type, like with pet goldfish dumped into a lake, which revert to there ancestral look and behavior.