Also PoS can't distribute new coins, thus eventually the coin supply shrinks asymptotically to 0.
You are wrong here. There are PoS variants that distribute new coins.
No variants can. And the last time you debated me, I defeated you on every single point. Are we going to have to do it again?
See Bitshares, genius.
Again the point is that with PoS, there is no FAIR or EQUITABLE way to distribute new coins that doesn't mimic the proportionality of the existing stakes, thus this is the same as the divisibility that is already built into the existing coins. No new distribution was achieved, just offsetting inflation.
If you have any other gimick in mind, please cite it specifically, so I can identify the flaw for you. You have been hoodwinked.
The amount of say you get in the company is compared to the amount of stake that you own. Corporations have been thriving on such practices for years now. Executives get nice stock options and benefits and the larger shareholders have more say, yet all stakeholders profit (if it is a well ran business of course.) If that is known before someone invests in a company/cryptocurrency that whoever has more stake will get more say in the company, then it is ridiculous to call it not fair.
You are also assuming that everyone votes in their best interest only and not the company's best interest, which is not always the case. If you go have a look at what each paid witness is doing for Bitshares then it becomes clear it is not the case.