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.
I think bitcoin is still connected with fiat money and there are many more that are still hidden inside without you knowing. just understand the general nature of bitcoin so you don't get complicated.
Indeed, all forms of currency created are actually connected with fiat because fiat itself is a base currency. Even bitcoin has a very high value because of fiat, if fiat doesn't exist, then where can bitcoin be pegged to? Well that's about concept. And true, that general nature of bitcoin is certainly not far from fiat, only difference is that it adopts a technology.