it wasn't a very clear article IMO, the real Leftico one is better at explaining the origins of this policy:
Reporters fume at White House 'quote approval' rules - POLITICO
I'm no reporter but from that, it sounds like the WH reporters originally did this during the last Obama term in order to get staff "on the record" but then the WH realized it could be used to further control the narrative, as if that's hard for any D WH to do.
This policy has remained in place since 2012, the Trump administration didn't invoke it often. and when they did, the MSM would just go back to "anonymous sources" or "an unnamed top spokesperson".
But Biden did this even when he was a candidate, and seems like you'd want quote approval for somebody in his condition. The press whining about it tells me somebody in the WH is making some money quotes they later have to squash or else be disciplines, as in limited or no access to the WH if they don't obey. Ridin' with Biden/