Wrong place for blockchain
The whole point of blockchain is to decentralize record keeping for transactions between parties that have no reason to trust each other. A stock market requires centralized control to enforce regulations, it cannot allow off book trading or trading by unknown anonymous parties.
There's no benefit to using blockchain in a stock market. A stock market depends on trust, so there's no benefit from eliminating that requirement for trading, but the real problem is you'd need extra work to prevent things like someone anonymously buying up all the shares of a company to attempt a hostile takeover.
That's probably why they can't make it work, they have some true believer in charge who wants to turn the stock market into some sort of libertarian wet dream of a stock market without regulation, and he's fighting the people that are trying to make its implementation fit existing law.
Without regulation, there would be no way anyone on the outside could trust any of the information reported about a stock. The price, the volume, short interest, all could be manipulated at the whim of anyone able to add their own self dealing "trades" to the blockchain. Without accurate info, it is worse than the casino it too often resembles today. It would be like a casino where after you bet $1 million on black and the wheel is spun only then are you able to see it has only red numbers!