YANBU. I cannot think why the government should pick up the tab; shareholders were attracted by the profits from its investment activities which made for an increasing share price. These were risky as the bank did not have a large enough capital base.
They could have invested in safer stocks or kept money in cash. The government did not force them under, just withdraw financial support. The bank was already failing - it simply did not have enough cash to meet its capital requirements and could not borrow.