Push leaves the basic function of propedal untouched and improves the overall damping characteristics of the shock. You'll still get the same levels control on each of the PP settings, i.e, slightly compression damped, more compression damped and alot compression damped, but the quality of the damping in the settings will be improved – better transition from platform to movement, better small bump sensitivity, less squatting into the travel, more composed on square edged hits etc…
TBH, After I'd had my RP3 pushed, I barely used the pro-pedal settings again anyway.
For budget reasons I'm now running an old pushed VanR and I don't miss the Propedal.
Next time I'll just get a conventional float and get it pushed.