No Steve,
Sydney Camm repeatedly rejected the Griffon as a Sabre substitute,
But Supermarine didn't. Remember that they were supposed to convert from Spitfire to Beaufighter production in 1941 when the Sabre engined Typhoon was expected to enter service. There was a scheme for installing the Griffon in the Spitfire by October 1939. This was to produce a fighter equal in performance to the Typhoon, lighter with a lower powered engine. It would also be more economical both in terms of man hours and materials than the Typhoon. Supermarins were not keen to give up the Spitfire. We have the benefit of hindsight, we know this wouldn't happen, the board of Vickers-Supermarine did not.
The Griffon was never intended to compete with the Sabre in the Typhoon, which was designed around that engine. It was intended as a competitor for other types. It's development was a commercial decision, taken with an eye on the competition, in this case Napiers, who Rolls Royce would have gladly seen the back of in the mid 1930s.
Rolls Royce offered this engine to the air Ministry despite their own professed intention to concentrate on fewer models.
The inter war years saw huge advances in aero engine performance and in 1939 many thought that the trend would be continued by developing larger engines. The same assumption was made by other powers. In fact reciprocating engines were nearing the end of their economical development, something only made clear with the arrival of jets in the next decade.
Extravagant claims were made for engines like the Sabre and although work did continue on the Merlin the important breakthroughs were in the future. In April 1940 a memorandum on research and development (Freeman to Secretary of State for Air) listed two Hercules variants, the Sabre, Griffon and Centaurus, but made no mention of the Merlin. The arguments made by Rolls Royce (see my post above) for development of the Griffon were actually even more applicable to the Merlin, with its large production capacity.
By late 1940 both the Air ministry and the aircraft industry were revising many earlier assumptions about the aircraft production programme, not least with the realisation that the most direct path to increased fighter performance (and others) lay in the development of the Merlin.
Cheers
Steve