That's a little irrelevant, because their hot storage wallet (their online coins) should be a small subset of their total coins. The whole point of a hot storage wallet is that if you lose them, it doesn't matter. So insuring those is pointless except as a marketing stunt to confuse people, which is why saying "We're insured" is bad faith.
This is a serious, professionally-run company backed by a lot of VCs we all recognize, plus banks and the NYSE.
Indeed, and if Coinbase loses all the coins, none of those people will step in to replace them, because nobody is going to put up hundreds of mullions or a billion dollars just to reimburse customers.
They have everything to gain by honesty and everything to lose by committing fraud, including prison (and that is the only reason they would become insolvent).
I disagree that technical problems can't make them insolvent. All it would take is an unhappy accident in their cold storage procedures.
But beyond tech problems, consider a thought experiment: If you're a gambling person, would you trade 20 years of your life in exchange for becoming a billionaire?
Banks are nice because if someone takes money, the money can be retrieved. Not the case for bitcoin. Someone is in charge of the cold storage procedures, so that person is in control over all the coins. If they decide to take all of them, there's nothing anyone can do about it except throw them into prison.
Obviously, bitcoin may be completely irrelevant by the time you're out of prison. In fact, emptying Coinbase's cold storage reserves might even cause that. But money does strange things to people, and this technology has changed the power dynamic. Some of those changes are good. But are you sure you want to trust a single person with your entire fortune? Worse, you're trusting multiple people where any single person can take your fortune. Even if they require several people to sign off, that's a very small number of people in complete control of your fate.
It probably sounds like I'm anti-Coinbase. I'm not. I'm pro-consumer. As soon as Coinbase insures all of their coins or offers true protection to consumers (by default!) then I'll be their biggest fan, because they'll have become an awesome bank.