First, if someone can see the future, I can think of many more lucrative things to use this ability for besides bitcoin mining...

Second, by definition pool hopping is jumping from pool to pool in a manner that is consistently more profitable than just mining normally.  If part of the requirements for successfully pool hopping is to "know the future" then it's not going to be consistent.  If you could know the future you'd benefit far more from using your foreknowledge on a PPLNS pool which can overpay shares, not a reward system like CPPSRB where you basically have no practical benefit vs other miners even if you know the future.  Assuming you have a working crystal ball, at best, you'll know when all of your shares could be rewarded... but you still won't be paid more for that work than other miners on the pool that mined with you.

Next, your post is not quite accurate.  There is no defined period to reach any "saturation".  If a new miner starts mining now, their shares will be added to the share log along with everyone else's.  If the round continues past one block worth of shares submitted by all miners, this new miner (along with other miners) will no longer have 100% of their submitted shares in the top one-block of the share log.  The moment that miner stops mining (hops away) their shares in the top of the log begin to be displaced by those of other miners and their estimated reward will drop accordingly, assuming the round continues without a block being found.  There is no "saturation."

Finally, by your own admission this has no benefit to hopping.  Based on the facts about how the system works there is no benefit to hopping.  So overall I fail to see the purpose of your posts.