It is not how it works my friend.
ok then tell me how it works since i dont get simple math
I will hope to enlighten you by using no fancy math. However, trolls gonna troll with their misinformation anyway.
The reduced earnings of full time miners would not be demonstrated by showing just one round. All shares per round will be paid equally per share to all miners.
It can be demonstrated as an example:
A miner has 2% of the total hash rate of the pool. That means the miner should make 1 BTC for every block solve. The miner mines a long block that took 3x difficulty. He submits 2% of the shares. The winnings are as expected, 2% of 50BTC = 1 BTC. The earnings per share are as expected (1/3 of the value they would have on an average round, since the round went so long).
So the last block took three times as long as average - variance will give us a matching lucky block 1/3 of difficulty for each unlucky block with 3x difficulty. In exact math you can't understand, for every round above the 90% percentile, we get a matching number of rounds below 10%. Our miner should expect 1 BTC from the short round also, and since it is short it makes up for the long round.
Now, lets say the pool size doubles just for the start of a round because an assload of hoppers jump on, when they know that the per-share reward will be high if a block is found early. Now the miner has only 1% of the hashrate of the pool. The block is found in 0.33x difficulty shares. Instead of 1 BTC for the short round, the miner gets 0.5 BTC. The earnings per share are as expected, but the miner was only able to submit half as many shares for the round as his hashrate would normally allow him. He gets shafted basically.
Over these two rounds, instead of 2 BTC he gets 1.5 BTC. The two rounds together were 3.33 the difficulty in shares, but the hoppers only significantly reduce the length of time the short round, so the two rounds together with hoppers at the start of each still take 3.0 the time. The full time miner makes less per time spent mining in the hopped pool.
The full time miner mines during unlucky rounds, and then the lucky rounds that would have made up for that time investment have hoppers stealing his expected earnings.
There is a profit motive for pool operators to turn a blind eye - it took a bit less time to solve the two blocks, so that means if the pool has a percentage fee or even an automatic donation percentage, it took less time for the pool op to earn those fees by encouraging pool hoppers to come over. This is a zero-sum gain across all pools though, because if hoppers couldn't hop anywhere, they would still have to mine somewhere.
