Even if we talk this and that about Bitcoin and govt. services, it will always depend on personal preferences. Those who know about Bitcoin and what it could do, also who are concerned about their privacy. They will use Bitcoin for sure. I have never heard of anyone who knows in depth about Bitcoin not using it. Those who are ignorant or don't know about Bitcoin and have no concern about their privacy will have no problem using government-issued services. This is all about knowing. If you have enough knowledge about bitcoin, you won't ask this question in the first place.
People truly don't understand Bitcoin's value proposition. It's not about making money with it, but rather using it as an alternative to existing Fiat currencies. By using it, you're getting freedom and privacy in return. In some ways, you'll be "liberated" from the evil clutches of central banks and governments alike. After all, these entities can't freeze or touch your Bitcoin.
FedNow is just a centralized ledger meant to benefit banks more than individuals using it. I believe it's the incarnation of the US Dollar in digital form (CBDC). This won't affect Bitcoin whatsoever. That is if Bitcoin remains decentralized for long. The day Bitcoin becomes centralized (I hope it never happens) will be the day when governments will win. Who knows if FedNow will make so-called stablecoins a thing of the past? Just my thoughts