Have you three hands ?
The problem with pumping the primer wile turning the engine are twofold, first the you cant control the engine RPM when the engine starts as your hand is on the primer and the second is the engine will draw fuel from the primer system once it starts if you control the RPM and don't shut and lock the primer.
The only up side to what you have sugested is that it is much less likely to result in an intake fire than the practice that IFMU has advised.
I have a lot of time for the guy who said that over priming resulted in a lot of problems even if he was a yorkshireman!