Hi John,
There are no permissions that would be preventing submission.
Yesterday, we were doing more testing with different roles related to the profile and there doesn't seem to be any pattern. This will happen to NoGeocodedUsers, Publishers, Admins, Group Managers, Non-Group Managers, Users.
We also tested isolating users in the groups to determine if someone was tied to multiple groups causing it to hang up. That was not successful either.
The issues only arises with iPads for my staff, but yesterday when I had other users test, some users could not submit at all. When submitting a survey, the survey would send but not connect to the feature service.
-Sean