Tim. Both are great boats. I own the Outback, PA14, and Sports (for my kids), all are Mirage.
I fish in the Western States and the Gulf States, mostly Texas and Florida Gulf Coasts. The surfs are much different. Florida's surf has a gradual slope to the bottom at most places and Texas has typically three sand bars and waves to punch through. For off shore I much prefer the Outback. I find it much more stable and maneuverable, which is key as you need to react quickly in the surf or over you may go. The outback has a lower profile, wind and waves don't shift the yak as much since they blow over the yak instead of slamming the side or you, and lower center of gravity, you sit lower and are more stable. The outback maneuvers well without the rudder, however I find the PA's reaction is slower which is important when bust'n through the surf.
Also consider the sea state you are willing to fish. I don't mind up to 4 ft waves 4 of more seconds apart, Outback only! If you only care to attempt 1 to 2 ft waves 3 or more seconds apart, then the PA would work.
The PA is larger, has a more comfortable seat and holds more stuff, which you can loose more stuff if you get caught in a bad way (surf, quick storm, etc.). My Outback carries plenty... I take 3 rods (Fly, spin, and bait cast), sometimes the live well, lures and flys, Hummin bird 798cisi, safety gear, lights, camera, etc.
I also use the outriggers/stabilizers sometimes, especially in rougher sea states. I find they provide good stability and don't effect my getting through the surf. Something to consider should you want a more stable boat.
I like the Outback anywhere and the PA for the lakes.