Never happen. Stats would reset every 10 minutes and take too much processing for ck to mess with.
I would like to understand where do the 10 mins come from? based on this
I would like to see the best share I have submitted on this round of work. When the block is solved, be it by the solo pool or another pool, this data resets.
By "this round of work" it means the status will change every time the merkle root changes which could be every 10 seconds as opposed to 10 mins, I hope we all understand that while we all are trying to solve the same block - every one is bascailly finding a different soluation to a different "combination".