I think with the push jerk, you cant get as low, so you may not be able to lift as much in the long run. But I think you can do both in competition, its just a lot harder to land deep after a push jerk than it is a split jerk.
Our deepest fear is not that we are inadequate. Our deepest fear is that we are powerful beyond measure.
"When in doubt, just get really, really strong. It tends to cure most problems in training – and life." - Wendler