Didn't even have to wind them down to benefit in some cases. I can't remember if it was the automaker or some of the 08 bank bailouts where the stock the government took as part of the bailout turned a profit after a few years.
https://www.reuters.com/article/business/us-government-says-...
GM lost taxpayers $11B, Chrysler lost $1.2B.
https://en.wikipedia.org/wiki/Troubled_Asset_Relief_Program
TARP delivered a $15.3B surplus on $426.4B invested for a roughly 3.5% return.
Note also that since then, all the nationalized banks are back on the public market with the state only holding plurality or even minority shares. Investment/retirement funds and private investors together hold bigger share then the state. These shares were more often then not released on a steep discount allowing investors (many of whom responsible for the 2008 crash) essentially free money from the state.
I think the only reason Iceland nationalized the failed banks in the first place was because they had no other option, the economy is too small, and they simply could not afford to bail them out, the money literally did not exist.
Also, today’s Iceland is extremely troubled by austerity. Schools and healthcare is extremely underfunded. Teachers- and nurses strike almost every 2 years. The city of Reykjavík just started their biggest round of mass-layoff ever.