I can agree that fiat has a way of interacting with our minds or gene as money because fiat is money and that is what it is used for but bitcoin isn't used only as money but other things too. So where is the connection coming from.
Well, the connection is the currency, both of them are used as currency, one is old system and is being used by government has power over its people while the second is new and digital which gives freedom to lots of people to have control over their own personal finances.
The advantage of bitcoin being used as currency that I see is part form the freedom to individually operate our own transactions anonymously, it also serve as a digital assets for store of value which increase as the system appreciate while fiat does not, but rather is a fixed assets that is not that flexible and does not appreciate. Although satoshi came with the idea of bitcoin to supplement money, but I think that it has the power and all the technology to really replace money in future.