Investors are still worried about a run on deposits of some ailing banks while massive lifelines buy more time

• Shares of First Republic and Credit Suisse continued to sell off despite massive lifelines.
• While tens of billions of dollars bought some time, there are still doubts that depositors will stay.
• "Once it's perceived that there's an unraveling going on — yeah, people take their money."

Massive lifelines to First Republic and Credit Suisse spurred brief rallies before shares resumed their free falls as doubts remain that they can keep depositors over the long run.