Definitely a corner case here.
I was online just before the daily task reset. I noticed that I had not screened the cultural feature so I did that while I waited for the update. Then the problem. The new task list came up including "screen the cultural feature", but the program could not deal with the fact that I completed the screening just after the reset. I now have have to wait 24 hours for the screening task to reset before I can complete it again, but in the same minute I will no longer be able to claim the reward because the daily task list will reset also.