The problem in 2008 was the investment, not the deposit arm of banks.

Bitcoin has had problems with both the investment, and the deposit arms. Most ICOs are pure fraud, and i've lost count of the number of robbed exchanges.

2008 was not really a question of trusting banks in a way that our savings were harmed. It was more that our investments were harmed. Separating bank liability for either of those things is hard, but it is not a simple case to assign all the blame on them.