What @blocktrades described above is what the Hive fork from Steem did:
creates a fork that doesn’t contain a user’s stake from a previous fork of the software
Implicit in this statement was that the old fork and cryptocurrency continued running unchanged, including keeping the coin name and exchange listings etc.
Because a "fork" where the blockchains on both sides don't actually continue running is not a fork at all in the normal English language usage of the term (not geekspeak).
What HF23 did was not a fork, merely a code change to an existing blockchain that stole property from one set of users and gave it to another.
There is nothing "new" about New Steem apart from theft.
It has retained all the valuable accoutrements of old Steem (exchange listings, coin name, front end websites, marketing Intellectual Property, founder company support etc) and is legally the same asset.
By contrast Hive was a true fork with Steem and Hive going their separate ways but with Hive having to create all these accoutrements from scratch.
Hive is legally a new asset.