They have every reason to not claim ownership. Because if they did, the endgame would be obvious. I have read the Princeton textbook. I know the history.
With blockchain technology, it will be possible to carry all of the following things in your "blockchain" wallet:
birth certificate
high school diploma
college degree (and in theory, your degree could be suspended if you don't pay your student loans)
marriage certificate
social security
all personal property
If you don't think that governments, , banks, marketing companies, or insurance companies can find function with blockchain, then you need to go back and look.
This technology has the ability to suspend a college degree if the loans are not paid. I did not say that it will happen. I said that it can. Think about that. It isn't about establishing trust, and if you believe that, you are not seeing the larger picture.