I have a Sony FDR-X3000 that I use with the Wakeye pylon mount. The image stabilization is excellent. We use the Sony PlayMemories app on my iPhone mounted so my wife can control the camera while she's driving. Not a great app, but works fine for turning the camera on and off.
I used to use the Wakeye app on my iPhone for recording, but was never able to get smooth video. The Sony is much smoother, but it does focus on the rope so the skier is a bit fuzzy. I haven't been able to solve that issue, but the video quality plenty good enough so I can clearly see all my skiing mistakes.