It only resets when someone pushes it. It's been getting closer and closer to 0 as the days go by since it started. There are also bots waiting for it to get low so they can snag a low number.
Only that you can track the timer reaching record low values and then the rapid appearance of people with that flair. Multiple people can get the flair from one reset if they're all close enough together so the first yellow button press had about 30 people. It is possible that they're adding false clicks while still allowing it to reach lower values over time, but I guess, why, when watching people do this themselves is so interesting?