I guess it all depends on how it's implemented and what the censorship policy is. If it's implemented with a "everyone, including the homeless, felons and racists gets access" mindset then there isn't much concern. If it's implemented with a "having access is a privilege not a right" mindset, it's different.
USPS has to service everyone, even those where they don't make any money with. If this FDIC thing is more like the USPS, your concerns would be unfounded.