The fact was CPB provided funding for NPR and that association, in my opinion, played a role in eroding support for CPB.Despite your later "no one said ..." denials, that sentence creates the impression that CPB=NPR, even though we know it doesn't.
What would stop the mass public from presuming that a replacement for CPB would also not "be NPR"? Because until you resolve that misperception -- especially with President Blowhard spewing nonsense based on his belief that it is -- no such replacement is ever going to be viable.
An entity that did not provide funding for NPR, but only in fact provided the infrastructure to provide and manage shared services might not face the same negative perception. Really, better that the stations that make a go at remaining need to do this on their own. The demise of the CPB was long overdue IMO.