Alibaba sold a hell of a lot more than 0.1% of itself today. About 125 times that number. And the price wasn't driven to zero. There's a lot more depth in US equities markets than you think.
That's a keeper!
Liquidity is a high-velocity component to markets. There's more depth that the sub-OP credits the market with at the present instant. But it really can disappear fast. I think there's actually a lot less depth to US equities than most people think, over the long run.
2) Secondly, companies routinely do secondary sales in which they sell stakes of themselves far in excess of 0.1%.
It's rare for a company to do a secondary offering.