Exactly.
Humans carry a huge amount of genetic data that is not visible even other than in non-coding regions as I previously mentioned - atavism is a common example of this and is not particularly rare - it is not caused by transfer of genetic material, but by certain combinations, by mutation and by chance. Humans still contain DNA for a tail, but humans do not have them. That is part of the reason that genetic engineering is not as simple as 'isolate sequence foo and insert it anywhere into the DNA of any target cell'
__________________
...
|