Earlier quoted context omitted.
I've never bought the liquidity argument. Ordinary investors don't need to buy and sell at any time. They'd be happy buying and selling once a day (as with mutual funds). What if the market consisted of a deep daily or hourly auction with lots of buyers and sellers matched up to discover a fair price? How is the current system better than that?
Your system might be more fair, but not one would use it. Traders want an exchange where they can buy/sell as soon as they receive new information, not in the future when everyone else has same information.
Settlement on share trades is not real time, and no one cares from a liquidity perspective. Settlement risk is a different question.
Who is convinced that these traders actually need to exist?
The share market's function in the broader world is to link long term investors with those who need long term capital for investment in the productive economy. Trading beyond monthly seems superfluous to me.