What you're describing is actually Genes are genetic. Which is kind of a given.
Not at all. Our social and psychological identities are just as important as our physical ones, and we're free to decide which is the most important.
If our genetic physicality shapes psychological and social identity (i.e. genetically identical people are treated as the
same person and think of themselves the same way) then that's a departure from twins.
For example, let's say that a creature commits a crime then buds into two clones. If the crime is to be punished then which do you punish? The first one you catch, or perhaps the larger of the two, or both? If the budded creatures feel remorse, do
both individuals seek to atone, or if one does is that enough for all of them?
Australian criminal law has terrible trouble prosecuting an identical twin if the other twin has an alibi. All it takes is for each twin to insist that
he has the alibi. It falls to prosecution to show that one
particular one committed the crime. So -- fingerprints or other distinguishing marks are critical.