I don't see them as routers, I see them as verification for who is lying. And that's similar job to an ACH.
But regardless if all routers are owned by that institution, in the case of the fed, it might as well be that institution.
Keep in mind I'm not advocating against crypto, I'm advocating against whatever the fed wants to build, which I think is just going to be an ACH network which integrates into the already existing one.