I disagree for many reasons. The first being the obvious one: people pay to be able to trade on the stock market. So where the article says that in some transactions millions were lost, the other side of such situations is that there were also plenty of people who made lots of money out of it. Its the beauty of the stock exchange in my opinion: almost everything works both ways.
Another aspect is the damage itself. What damage exactly? Trading or investing on the stock exchange involves taking certain risks. You can try to regulate all you want, but its those risks which allow people to either make or lose lots of money. Regulating only means postponing the inevitable.
And that's problem number two: If you regulate the amount of trades people can make you're not only blocking possible losses, but also blocking possible profits. Because having the option to purchase many stocks in one go is a good way for a trader / customer to invest and for the company which sells those stock to make some profit out of this.
And it's those profits why most people trade on the stock exchange in the first place.