Yeah, WIFI direct should be used, however the app does register the wifi password to your password manager through android api's, thats why you should be able to connect to the wifi of the gear, because your phone should know the password. IF your phone does not know your password there is something strange going on in your ROM. which rom do you use?
EDIT: I have looked again in your logcat. Your phone seems to connect well to the camera, so the problem is another. However i found a line which was not marked as error but looks interesting:
SavsMetadataRetriever( 542): isPlayableMedia - bigger than maximum supported resolution(current video resolution : width=3840 height=1920, maximum resolution : 1920 X 1088 or 1088 X 1920)
I see the same line on the other log what was posted here, so maybe your display has issues with the resolution. I will keep investigating the logs.
Best Regards