Also, maybe this is just the OCD kickin' inbut isn't this like the third different "Freedom class" that Starfleet has had? There's the Franklin (from STB), the one from TNG (the graveyard scene in BOBW) and now this. Starfleet must really like that name!
It wasn’t meant to be a ‘real’ Freedom class, just a Cali-style version of it. Just like how it wasn’t actually a Sovereign class when the Cerritos turned into it.
As for the Franklin, the dialogue trumps whatever barely-discernible display information that was on screen. Scotty calls the Franklin an NX class, so that’s what it is, despite it also being in conflict with the ENT NX class.