I'm assuming we're talking about a reputable online bank, of course.
You're less of a target.
Yes, I'm less of a target than a bank.
That doesn't mean I carry tens of thousands of dollars in cash in my wallet or store it under my pillow.
There are a lot of people who know I'm a big fan of Bitcoin.
I don't broadcast how much I have or where I store it, but I'd say I'm significantly more of a target than the average Joe.
In any case, I'm not saying that either solution is perfect. What we need is a split key system where I can store half of the key in a fire safe and the other half in an online or traditional bank. But I don't know of any online service that offers this (and I doubt anyone reputable is yet doing it). And doing it using a brick-and-mortar safety deposit box is 1) a pain; and 2) risky in that I might screw something up and accidentally lose all my BTC.
Maybe just doing it using an online storage service. But then I still have the issues of 1) it's a pain; and 2) it's risky in that I might screw something up and accidentally lose all my BTC. Also, the online storage service probably won't have the same policies as an online bank. It needs to be something where I have a memorized password, but where my heirs can get access when I die or become disabled.