It's because PS5 games can use the adaptive triggers functionality that is impossible to emulate on the PS4 controller. For example in Ratchet and Clank short pull on the trigger fires the gun, there is artifical resistance past that point, but if you pull past it it will fire the secondary weapon mode. On a PS4 controller you'd just fire the secondary mode all the time because there would be no way to find the threshold on a trigger without this functionality.
Of course games could be designed around this and support both - but Sony avoided placing such a requirement on devs so all PS5 games are presumed to be using a PS5 controller when going through cert.