No one owns the name "Bitcoin". When it comes down to it, BCH is an upgrade to the BTC chain, and a legitimate contender for the BTC name. By the Nakamoto Consensus, when BCH accumulates more cumulative PoW on its blockchain, by the consensus rules laid out in the whitepaper it will be Bitcoin.
I say when, rather than if because the fact that BTC has rendered unupgradable due to dangerous centralization of developer power, and it will inevitably stagnate - and stagnant water breeds disease.
Seriously, fo those of us who got involved with Bitcoin before October 2013, Bitcoin Cash is the coin we got involved with. The scaling plan was always to increase the blocksize. The fact that one day, full nodes would require expensive server hardware and would only be operable in datacenters was something to look forward to, because that would have meant that BTC was being used as money on a global scale.
Don't take my word for it: Source
Did you know Vitalik Buterin wanted to build ETH on top of BTC? He only decided to make his own crypto when it became clear that Core would actively prevent him from building ETH atop Bitcoin.
RE: memo.cash: A kind of Twitter on the Bitcoin Cash Blockchain / Amazon wants to deanonymize Bitcoin Transactions with Data Marketplace / Parity: Is this a Bailout - or a Rescue?