I think that will makes people panic because they have their coins in that site. That is why you don't need to store all of your coins online because you can save it in the hardware which you can buy at a cheap price. It is a risk to store your coins in online because you never know how long the website can running and give the service. So when you want to store the coins on the website, you need to think about the other solution which will give you safety on storing the coins, and you should choose with the offline wallet.