Not really...because Hollywood Rock would expose the gimmick and tear it apart where it wouldn't have any more relevance.
And Cena was almost ready to run out the ring during the Punk contract signing when he sprung just a tidbit of this on him
When Rock said, men don't respect u because we can smell a phony son of a bytch a mile away as the crowd gave a standing ovation in agreeance, unlike in the Cena promos that only the internet marks flipped out for, Cena's face went bright red

#ShookOnes
Also in that promo...basically the Rock attacked the WWE and their whole presentation while going at Cena like that. No one is even close to his level.