Do we all remember the old member settings page? Did we enjoy scrolling through every single setting every time we needed to update a single one in member settings? No, no we did not, and so they were placed into tabs in Deluxe. To protect admin from potential mistakes and blank settings certain fields were set to required. This is where the conflict came in, the tabs hide the browser warning for any field not filled in that is a required field.
If the lock at the top of the admin panel shows as open your settings permissions ARE correct and all settings should save. If they do not save and the button doesn't seem to be doing anything check all tabs for any blank settings fields, this could also be a problem in other settings pages built using tabs, if at any time the button does not seem to work and you get no green box telling you the save was successful check all fields, most likely a required field has been left blank.