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That's fair. A straight fork can and usually does usually have a new symbol, name, ticker etc if there's a split. Sometimes the original chain (or technically the branch without rule changes) is the one that's forced to change name due to less social consensus, such as in the case of Ethereum Classic.

new asset symbol like @therealwolf said, a new chain_id in the code, different infrastructure, new relationships with exchanges etc has nothing to do with Steem blockchain and it will be similar to various Etherium forks

If it has the accounts and balances copied over from Steem, it absolutely has something to do with Steem, the most important and substantial things.