So, this DVD-self would exist for all life forms, then? You, an amoeba, a pink carnation, or is an explicit neurosystem required? A pet dog, then? What about semi-life forms like viruses? What about inanimate objects? Do billiard balls have this DVD-self of which you refer?
What about DVDs? Do they have DVDs of themselves?
Holy recursion, Batman!
In any case, according to the ancient Egyptians, all things possessed at least part of the self that Jabba is failing to describe. It was called the
Ba and is something like what we might call a personality. Everything had a
Ba, including inanimate objects.
Then there is the question of Jabba parts. Is it just Jabba in total that has this DVD-self, or would an amputated arm, say, have a separate DVD-self? What about toenail clippings? If not the arm nor clippings, just how much of Jabba is needed to have the part with the DVD-self?
Strangely enough (or not) you've touched again upon the way the ancient Egyptian regarded these things.
According to them, absolutely everything that made up the
Khat, or physical body, had to be included in a sacred burial in order that the
Akh, (meaning "effective one", as in "Akh-en-Aten") could be reassembled in the afterlife.
This meant that not only did the rituals ensure that the
Ba (described above), the
Ka (the "vital essence" or "life force" that only living things possess), the
Ib (the heart, which the ancient Egyptians believed to have most of the functions that we now know to be performed by the brain) have to be included, but even the tiniest bit that fell off the body during the preparations (such as toenail clippings or loose teeth) had to be properly prepared and interred. This included any of the bandages, cloths and other paraphernalia used in the preparations.
Further, in the case of high ranking officials and Pharaohs, a box was prepared which had the ritual purpose of containing the
Sheut (shadow) since it was thought that a person's shadow also contained something of his or her self.
ETA: It's funny, but reading that back makes me realise how much at home someone like Jabba would have been in ancient Egypt. No need for Bayes' theorem and weird definitions to essentially prove anything. Everyone already
knew that immortality was a thing, as long as the right spells were cast and the appropriate offerings made.