On the other hand, it might be worth putting an encrypted private key into at least one safe safe.
Most of my BTC is on hardware wallets and a smaller part on exchanges for trading purposes (probably only around 10% currently) so I feel comfortable with my storing strategy. But I wouldn't mind "diversifying" a small percentual part of my storing into an online third party *IF* it was fully insured... and no custody fee. That's what I meant.
I know, but you won't get a fully insured storage without paying an insurance fee in one form or another. If you pay it directly you know what you're getting into... with a proper contract. If you're getting the storage "free" you're paying it behind the scenes, potentially through the bank or exchange trading your Bitcorns. And at that point the counterparty risk increases dramatically. And I think we all know that banks don't keep sufficient backups and whine for bailouts when they fuck up.
And if they'll receive government's bailouts, that will be in USD, not BTC, obviously.