2. In a real stock exchange, the company value is largely the volatile thing. In one backed with crypto, the price of a company will fluctuate more from the asset you're buying it with than the company's activity itself. If the price of bitcoin goes up, I own the same number of shares but worth fewer bitcoins. That seems like not what folks into crypto care about.
3. If a company puts all of its shares into this, it likely cannot ever ipo. That's going to turn off most investors. I would expect it's an all-in endeavor.
4. Companies accidentally losing their private key for unissued shares sounds like a very bad failure mode.