I don't think there was a connection with the market price in becoming a central bank itself in the case of bitcoin, I don't really think it is possible at all. Maybe if the government can control bitcoin.

Bitcoin will not become the central bank because bitcoin is decentralized and central banks are centralized, maybe what it means is becoming your own bank where you have the control on your own.

But most of the people actually are just stick with banks because they just don't want the responsibility, like if you lose your private key you lose your bitcoin as well, in a bank you could just request another password if that happened.