There seems not to be a category dedicated to the official Android app, so I will just use this one.
When I go to the feed and then Settings, followed by disabling a bunch of push notifications, and then touching Close, it may or may not actually save my settings. I have noticed that I have more chances of success if I leave the settings screen on for a little while before touching Close and going back to the feed screen.
This is a bug report. I found no link in the Android app to report issues.