I just don't trust online wallets. I was anal with my bitcoin when i had it. I stored it on a wallet installed on my computer. That was a big step in the right direction for keeping stuff like this from happening. The other thing that helps is having an offline wallet, like one not on a computer not connected to the net.
But, if you simply use a wallet installed on your computer, and it's even password protected. Then that is when you can trust yourself with your funds better than somebody else and their security providing an online wallet.
Banks can and do get robbed. Right now easier targets are cryptocurrencies. I don't dismiss the currencies. This just gets down to what is a good way to store them; this is aside from whether or not they are worth investing or putting your hard earned dollar down on.