Hello,
Just at Sea World on Saturday. There were no open/ public wifi official signals at the park. I found one signal going across the bridge and I think it might have been someone trying to run a public hotspot from their phone. I think most of them must be non broadcast SSIDs.
As for the app, I have it on my Droid. To be honest, I checked it only a few times. We relied more on the map with times on the back more than the app itself. FWIW, don't worry about the app. Just go and enjoy yourselves. The map you receive at the entrance can be placed in a bin called "Map Recycling".