It depends on the reference your watch is.
Regardless of whether it's a PN or not, the style of pusher will depend on model ref.
-6239 (pump pusher)
-6240 (pump pusher)
-6241 (pump pusher)
-6262 (pump pusher)
-6263 (screw down pusher)
-6265 (screw down pusher)
Essentially, the basic rule of thumb is that if the dial does not have 'OYSTER' printed on it, it should have pump pushers (whereas the Oyster dials should have screw down pushers). Now, if a pump model has been in for service, it is absolutely possible for that particular watch to have retained it's original non-Oyster dial, but to have possibly had it's pushers replaced with screwdown or vice versa (or even perhaps both the dial and pushers replaced with new RSC replacement parts). This would make for a non-matching example, but if the reference model correlates to the papers etc, there's no major concern. Of course, gen collectors would prefer the original combo for collecting and value/investment reasons.
On the flip side of that, you should not see a 6263 or 6265 model with pump pushers fitted.