In 2011 and 2012, in the US, protecting the deposit holders was deemed sufficiently important that FDIC deposit insurance was extended to unlimited protection (now it is up to 250K)
"Back in December 2012 the FDIC and the BoE published a joint paper outlining their new approach for how to resolve any future collapse of one of the Too-Big-To-Fail banks...
'deposit guarantee schemes may be required to contribute to the recapitalization of the firm'[1][2]
...the new system raids the Deposit Protection scheme, gives it to the bank instead of you and when that fails to save the bank…then what? The bank fails again and there is no money left in the Deposit Guarantee scheme."
[1] http://www.golemxiv.co.uk/2013/03/plunderball-the-new-euro-b...
[2] http://www.bankofengland.co.uk/publications/Documents/news/2...