We bought the GC200 about a year ago and had the "losing Google Account settings" problem for the first 10 months we owned the camera.
About 2 months ago I used the camera's Settings->Software Update to check if there was an Android OS update available, and there was.
I downloaded installed the Android update (takes about 15 minutes to download on 10Mbs Wifi), and as a result the Google account settings have been properly maintained by the camera for the last 2 months and counting.
A Samsung Account had never been set up on the camera so I don't know if the Samsung account causes problems as others have mentioned is possible. You could always reset the device and then update Android to have a non Samsung Account polluted device and then add your Google Account and apps.
The Android version info for the now properly function Camera is shown below: