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.