Sure when volatility gets too high on the real stockmarkets, they temporarily pause the share or the exchange and make it, by definition, illiquid. This is however a completely artificial limitation and there is nothing inherently contradictory about having high volatility and high liquidity.
I presume you belong to the school of thought that says if you can't do a cash flow analysis then it doesn't have value. But I don't get that, there are tons of things that have value without being able to do a cash flow analysis on it.