Sigmoid curve. Natural resource depletion.
Difficulty was 1 for over a year. Yet the BTC output was as high as it is now. Distribution sucks because of that.
I think this is an interesting proposal but most likely a flawed one. The flaw I see is that you have to bind the issuance curve to time and not difficulty in order to insure the top limit and scarcity, so it would take a very long time for any Bitcoins to exist. So there would be a big question of whether or not the early adopters would have had enough incentive to actually participate for such a long time and make what we have now possible if they knew that what they were getting in the first third or so of your suggested Sigmoid issuance curve was going to get wiped out down the road with significant increase in inflation(expansion of the supply). Would they really invest the time and costs to ultimately get nothing in return?
Besides I don't understand what people think Satoshi could possibly do with all his Bitcoins? Don't you understand that if he tried to cash out even a tenth of his million or how ever many he has, he'd completely crash the price and could never sell all of them at current spot. So I can't imagine why he'd ever do that aside from trying to destroy what he had created. I know that if I had that many I wouldn't try and crash their worth by flooding the market, I'd try to keep them and maybe only slowly sell a small amount to maintain their price and my net worth.
I think the biggest reason people have such a hard time with the way Bitcoin came into existence is because they live in this weird upside down false paradigm of the real world where conmen run the monetary system, the central banks, the government and the big banking corporations. You simply can't see the reality because of being immersed in the system you live in which is a total and complete fraud and that being the reason there's such high wealth distribution disparity. You just don't understand that it's the system we have in the real world is what made it possible and is the real con and that the Bitcoin system is nothing like it and therefor not a con but perfectly legitimate.