The problem this time is that both new coins want to be called bitcoin. The normal thing would be that the new fork gets another name but in this case Segwit2x fork wants to be called bitcoin, so, if they succeed, Bitcoin (Core) would need to have another name. In the beginning Coinbase said that they would maintain “bitcoin” for the original one and would call “B2X” the new one but after they changed the statement:
“What will Coinbase call these two blockchains?
Following the fork, we will continue referring to the current bitcoin blockchain as Bitcoin with the symbol ‘BTC’. We will refer to the new blockchain resulting from the fork as Bitcoin2x with the symbol ‘B2X’.
If the Segwit2x change is accepted by most users, we may choose to rename these blockchains at a later date.
Edit: At the time of the fork, the existing chain will be called Bitcoin and the Segwit2x for will be called Bitcoin2x. Ultimately, we will call the fork with the most accumulated difficulty Bitcoin. We will wait for a period of time after the fork, before finalizing the naming.”
https://support.coinbase.com/customer/portal/articles/2892985-segwit-2x-faq