I don't think there would be any widespread personal blockchains. No more than we have personal mail servers for email. That would be seen to give individuals too much power, I think.

The more powerful blockchain is that which is most-connected. It would also be the most efficient, which would be the best environment for tokenization.

People would probably feel free to roam and transact with the deep blockchain, just as we feel free to do today with the Internet.

For more of a utopia, strict limitations on technology would be needed. The Internet would need to be a very different place, I think.