If you artificially create obstacles to market liquidity, you create incentives for bypassing those obstacles[1]. If a stock can't be sold on an official market, then it will be sold on a officious one, with various possible mechanism, the most obvious one being a front company holding the stock officially while secretly keeping a book of its "real" holders.
There are, maybe, some inconveniences and possibly economic inefficiencies in the trend that can be observed for investors preferring investing in the short term rather than the long term, but it is very narrow-minded to react to this by suggesting to limit market liquidity. IMHO this attitude shows a deep mistrust in the free market and a step away from capitalism towards socialism (since in socialism, stocks are not liquid at all).
1. "Money, capital, has a life of its own. It's a force of nature. Like gravity. Like the oceans : it flows where it wants to flow."