However, on the pool that I would like to have, the share is being used to get the proportional BTC reward for the miners. So I hope all miners will approximately get the same payout for the same mining period, regardless of their hashrates. The different will be that the miners who mine in longer time will get more payout than the ones who mine in shorter period. Has this kind of method been used so far? More importantly, does that make sense?
That's not Proportional payout system. That is Communism. Nobody here will take part in such an unfair payout scheme. Everyone wants to be paid for the work they do not to subsidize lower hash rate miners.
If everybody had the same thought like that, we can be sure where the Bitcoin network will be centralised in a few years. Perhaps what I mentioned is very close to communism. But communism idea is practically dead. And I don't think capitalism works either. For instance, how many percent of the US citizens control the economy and politic in the US? I have read
this article a few months back and I found that quite interesting.
Capitalism works and has worked every time it has been tried. Everyone in the US asserts control over the economy and every one could take part in the Political process if they chose to. It is very sad that so many choose to not participate in it and/or are ignorant to how it works.